Question
Use the table to answer the question.
x
y
−6
5
−4
2
−2
−1
Graph the points in the coordinate plane from the data values in the table.(1 point)
Responses
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis, and left parenthesis 5 comma negative 6 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis, and left parenthesis 5 comma negative 6 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 6 comma 5 right parenthesis, left parenthesis negative 4 comma 2 right parenthesis, and left parenthesis negative 2 comma negative 1 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 6 comma 5 right parenthesis, left parenthesis negative 4 comma 2 right parenthesis, and left parenthesis negative 2 comma negative 1 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 6 comma 5 right parenthesis, left parenthesis 4 comma 2 right parenthesis, and left parenthesis 2 comma 1 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 6 comma 5 right parenthesis, left parenthesis 4 comma 2 right parenthesis, and left parenthesis 2 comma 1 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 2 comma negative 1 right parenthesis, left parenthesis negative 3 comma 2 right parenthesis, and left parenthesis negative 6 comma 4 right parenthesis.
x
y
−6
5
−4
2
−2
−1
Graph the points in the coordinate plane from the data values in the table.(1 point)
Responses
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis, and left parenthesis 5 comma negative 6 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis, and left parenthesis 5 comma negative 6 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 6 comma 5 right parenthesis, left parenthesis negative 4 comma 2 right parenthesis, and left parenthesis negative 2 comma negative 1 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 6 comma 5 right parenthesis, left parenthesis negative 4 comma 2 right parenthesis, and left parenthesis negative 2 comma negative 1 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 6 comma 5 right parenthesis, left parenthesis 4 comma 2 right parenthesis, and left parenthesis 2 comma 1 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 6 comma 5 right parenthesis, left parenthesis 4 comma 2 right parenthesis, and left parenthesis 2 comma 1 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 2 comma negative 1 right parenthesis, left parenthesis negative 3 comma 2 right parenthesis, and left parenthesis negative 6 comma 4 right parenthesis.
Answers
Answer
Question
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. One plotted point is in quadrant one and is positioned at 3 increments along the x-axis and 4 increments along the y-axis. One plotted point is in quadrant one and positioned at 2 increments along the x-axis and 1 increment along the y-axis. One point is located in quadrant four and positioned at 1 increment along the x-axis and 2 increments along the y-axis.
Choose the ordered pairs that are plotted on this coordinate grid.
(1 point)
Responses
(2,−1 )
, (1,2 )
, (4,3)
left parenthesis 2 comma negative 1 right parenthesis , left parenthesis 1 comma 2 right parenthesis , left parenthesis 4 comma 3 right parenthesis
(1,2 )
, (2,1 )
, (3,4)
left parenthesis 1 comma 2 right parenthesis , left parenthesis 2 comma 1 right parenthesis , left parenthesis 3 comma 4 right parenthesis
(1,−1 )
, (2,2 )
, (3,4)
left parenthesis 1 comma negative 1 right parenthesis , left parenthesis 2 comma 2 right parenthesis , left parenthesis 3 comma 4 right parenthesis
(1,−2)
, (2,1 )
, (3,4)
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. One plotted point is in quadrant one and is positioned at 3 increments along the x-axis and 4 increments along the y-axis. One plotted point is in quadrant one and positioned at 2 increments along the x-axis and 1 increment along the y-axis. One point is located in quadrant four and positioned at 1 increment along the x-axis and 2 increments along the y-axis.
Choose the ordered pairs that are plotted on this coordinate grid.
(1 point)
Responses
(2,−1 )
, (1,2 )
, (4,3)
left parenthesis 2 comma negative 1 right parenthesis , left parenthesis 1 comma 2 right parenthesis , left parenthesis 4 comma 3 right parenthesis
(1,2 )
, (2,1 )
, (3,4)
left parenthesis 1 comma 2 right parenthesis , left parenthesis 2 comma 1 right parenthesis , left parenthesis 3 comma 4 right parenthesis
(1,−1 )
, (2,2 )
, (3,4)
left parenthesis 1 comma negative 1 right parenthesis , left parenthesis 2 comma 2 right parenthesis , left parenthesis 3 comma 4 right parenthesis
(1,−2)
, (2,1 )
, (3,4)
Answer
Use the table to answer the question.
Hours Miles
1 3
2 6
3 9
Graph the points in the coordinate plane from the data values in the table.
(1 point)
Responses
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 3 comma 9 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 3 comma 9 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 5 right parenthesis, and left parenthesis 3 comma 7 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 5 right parenthesis, and left parenthesis 3 comma 7 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 3 comma 9 right parenthesis, left parenthesis negative 2 comma 6 right parenthesis, and left parenthesis negative 1 comma 3 right parenthesis.
Hours Miles
1 3
2 6
3 9
Graph the points in the coordinate plane from the data values in the table.
(1 point)
Responses
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 3 comma 9 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 3 comma 9 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 5 right parenthesis, and left parenthesis 3 comma 7 right parenthesis.
Image with alt text: A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 5 right parenthesis, and left parenthesis 3 comma 7 right parenthesis.
A coordinate plane shows four quadrants with both the x-axis and y-axis ranging from negative 10 to 10 in increments of 1. Three points are plotted. The plotted points are as follows: left parenthesis negative 3 comma 9 right parenthesis, left parenthesis negative 2 comma 6 right parenthesis, and left parenthesis negative 1 comma 3 right parenthesis.
Answer
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 6 comma 2 right parenthesis, left parenthesis negative 4 comma 6 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 6 comma 2 right parenthesis, left parenthesis negative 4 comma 6 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
Answer
Question
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis 0 comma 2 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis 0 comma 2 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Answer
Good job! You got them all correct!
Answered by
GPT-4o mini
To plot the points given in the table:
- The points are:
- (-6, 5)
- (-4, 2)
- (-2, -1)
Now let's verify the plotted points:
1. The point (-6, 5) is located in the second quadrant, 6 units to the left of the y-axis and 5 units up from the x-axis.
2. The point (-4, 2) is also in the second quadrant, 4 units to the left of the y-axis and 2 units up from the x-axis.
3. The point (-2, -1) is in the fourth quadrant, 2 units to the left of the y-axis and 1 unit down from the x-axis.
Now, based on this analysis, the correct plotted points corresponding to the given data from the table would be:
**A coordinate plane showing the three points: (-6, 5), (-4, 2), and (-2, -1).**
This matches the second option in your provided responses.
- The points are:
- (-6, 5)
- (-4, 2)
- (-2, -1)
Now let's verify the plotted points:
1. The point (-6, 5) is located in the second quadrant, 6 units to the left of the y-axis and 5 units up from the x-axis.
2. The point (-4, 2) is also in the second quadrant, 4 units to the left of the y-axis and 2 units up from the x-axis.
3. The point (-2, -1) is in the fourth quadrant, 2 units to the left of the y-axis and 1 unit down from the x-axis.
Now, based on this analysis, the correct plotted points corresponding to the given data from the table would be:
**A coordinate plane showing the three points: (-6, 5), (-4, 2), and (-2, -1).**
This matches the second option in your provided responses.
Answered by
GPT-4o mini
Let's analyze the information provided in the question:
1. **Point in Quadrant I**: Positioned at (3 increments along the x-axis and 4 increments along the y-axis) → (3, 4).
2. **Point in Quadrant I**: Positioned at (2 increments along the x-axis and 1 increment along the y-axis) → (2, 1).
3. **Point in Quadrant IV**: Positioned at (1 increment along the x-axis and 2 increments along the y-axis) → Since it is in Quadrant IV, this point would have a positive x-coordinate and a negative y-coordinate → (1, -2).
Now, we review the options provided:
1. **(2,−1 ), (1,2 ), (4,3)**
2. **(1,2 ), (2,1 ), (3,4)**
3. **(1,−1 ), (2,2 ), (3,4)**
4. **(1,−2), (2,1 ), (3,4)**
Based on the ordered pairs we identified:
- We have (3, 4), (2, 1), and (1, -2).
The only set of ordered pairs that matches this is:
**(1,−2), (2,1 ), (3,4)**
So, the correct response is option **4: (1,−2), (2,1 ), (3,4)**.
1. **Point in Quadrant I**: Positioned at (3 increments along the x-axis and 4 increments along the y-axis) → (3, 4).
2. **Point in Quadrant I**: Positioned at (2 increments along the x-axis and 1 increment along the y-axis) → (2, 1).
3. **Point in Quadrant IV**: Positioned at (1 increment along the x-axis and 2 increments along the y-axis) → Since it is in Quadrant IV, this point would have a positive x-coordinate and a negative y-coordinate → (1, -2).
Now, we review the options provided:
1. **(2,−1 ), (1,2 ), (4,3)**
2. **(1,2 ), (2,1 ), (3,4)**
3. **(1,−1 ), (2,2 ), (3,4)**
4. **(1,−2), (2,1 ), (3,4)**
Based on the ordered pairs we identified:
- We have (3, 4), (2, 1), and (1, -2).
The only set of ordered pairs that matches this is:
**(1,−2), (2,1 ), (3,4)**
So, the correct response is option **4: (1,−2), (2,1 ), (3,4)**.
Answered by
GPT-4o mini
To graph the points based on the data provided in the table:
### Given Data:
- **Hours**: 1 | **Miles**: 3 → (1, 3)
- **Hours**: 2 | **Miles**: 6 → (2, 6)
- **Hours**: 3 | **Miles**: 9 → (3, 9)
### Analyzing the Points:
The correct ordered pairs based on the table are:
- (1, 3)
- (2, 6)
- (3, 9)
Now, let's review the response options for the plotted points:
1. **(3, 1), (6, 2), (9, 3)**
2. **(1, 3), (2, 6), (3, 9)**
3. **(1, 3), (2, 5), (3, 7)**
4. **(-3, 9), (-2, 6), (-1, 3)**
### Correct Response:
The correct set of points that corresponds to the data from the table is:
**(1, 3), (2, 6), (3, 9)**
This matches option **2**.
So, the correct answer is:
**(1, 3), (2, 6), (3, 9)**.
### Given Data:
- **Hours**: 1 | **Miles**: 3 → (1, 3)
- **Hours**: 2 | **Miles**: 6 → (2, 6)
- **Hours**: 3 | **Miles**: 9 → (3, 9)
### Analyzing the Points:
The correct ordered pairs based on the table are:
- (1, 3)
- (2, 6)
- (3, 9)
Now, let's review the response options for the plotted points:
1. **(3, 1), (6, 2), (9, 3)**
2. **(1, 3), (2, 6), (3, 9)**
3. **(1, 3), (2, 5), (3, 7)**
4. **(-3, 9), (-2, 6), (-1, 3)**
### Correct Response:
The correct set of points that corresponds to the data from the table is:
**(1, 3), (2, 6), (3, 9)**
This matches option **2**.
So, the correct answer is:
**(1, 3), (2, 6), (3, 9)**.
Answered by
GPT-4o mini
To determine the slope of the line connecting the points \((-6, 2)\) and \((-4, 6)\), we can use the formula for the slope \(m\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
### Given Points:
- \((x_1, y_1) = (-6, 2)\)
- \((x_2, y_2) = (-4, 6)\)
### Plugging in the values:
\[
m = \frac{6 - 2}{-4 - (-6)} = \frac{4}{-4 + 6} = \frac{4}{2} = 2
\]
### Conclusion:
The slope of the line is \(2\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
### Given Points:
- \((x_1, y_1) = (-6, 2)\)
- \((x_2, y_2) = (-4, 6)\)
### Plugging in the values:
\[
m = \frac{6 - 2}{-4 - (-6)} = \frac{4}{-4 + 6} = \frac{4}{2} = 2
\]
### Conclusion:
The slope of the line is \(2\).
Answered by
GPT-4o mini
To find the slope of the line connecting the points \((0, 2)\) and \((1, -1)\), we use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
### Given Points:
- \((x_1, y_1) = (0, 2)\)
- \((x_2, y_2) = (1, -1)\)
### Plugging in the Values:
\[
m = \frac{-1 - 2}{1 - 0} = \frac{-3}{1} = -3
\]
### Conclusion:
The slope of the line is \(-3\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
### Given Points:
- \((x_1, y_1) = (0, 2)\)
- \((x_2, y_2) = (1, -1)\)
### Plugging in the Values:
\[
m = \frac{-1 - 2}{1 - 0} = \frac{-3}{1} = -3
\]
### Conclusion:
The slope of the line is \(-3\).
Answered by
GPT-4o mini
Thank you! I'm glad to hear that! If you have any more questions or need further assistance, feel free to ask anytime. Happy learning!
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