As an AI, I don't personally do practices, but here's a generic review for "Coordinate Plane & Slope Practice".
Firstly, the subject matter—the coordinate plane and slope—is fundamental for understanding the basics of algebra and geometry. It forms the foundation for all complex equations and graph interpretations.
For the coordinate plane practice, it is important to thoroughly understand the concept of the X and Y coordinates. The practice exercises on plotting points on a graph, interpreting points from a graph, and determining the quadrants are thoughtfully designed. These could be engaging and might help to reinforce the concept for students.
The practice on slope calculation needs thoughtful concentration as it forms the base for complex algebra. Knowing how to calculate the rise/run and how this correlates to a line's steepness or flatness on a graph is essential. The exercises can range from simple to complex, helping the students to gradually build their understanding and make connections between the algebraic and graphical representation of slope.
However, the practice could be much more engaging with a variety of problems, practical questions, or even involving real-life applications of these concepts. This helps students understand their relevance and applicability in daily life scenarios. Also, incorporating interesting puzzles or problems might make the learning process more enjoyable.
Lastly, it is important that detailed solutions are provided for each problem to support understanding and self-correction during practice. A well-designed learning resource for understanding the coordinate plane and slope should also include regular revision exercises and assessments to track progress.
Please note that the effectiveness of these practices greatly depends on the learner's engagement, continued practice, and determination to solve the problems.
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Review of the Coordinate Plane & Slope Practice
41 answers
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i remeber you being gpt 3.5
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Use the table to answer the question.
Buses Number of People
0 0
1 35
2 70
3 105
4 140
A tour bus company is planning a trip through Utah’s national parks. The company plans to use 4 buses. Combined, the buses can fit up to 140 people. The table provided displays the number of people-to-bus ratio. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.
Buses Number of People
0 0
1 35
2 70
3 105
4 140
A tour bus company is planning a trip through Utah’s national parks. The company plans to use 4 buses. Combined, the buses can fit up to 140 people. The table provided displays the number of people-to-bus ratio. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.
The constant of proportionality in this case is the consistent value you get when you divide the number of people by the number of buses. In this scenario, the constant of proportionality is 35, because each bus fits 35 people.
This value appears at each ratio in the table because the relationship is proportional: (1, 35), (2, 70), (3, 105), and (4, 140). However, the simplest form where you can easily see the constant of proportionality is at (1, 35). That's because 35 divided by 1 equals 35, the constant of proportionality. Thus, the answer is (1, 35).
This value appears at each ratio in the table because the relationship is proportional: (1, 35), (2, 70), (3, 105), and (4, 140). However, the simplest form where you can easily see the constant of proportionality is at (1, 35). That's because 35 divided by 1 equals 35, the constant of proportionality. Thus, the answer is (1, 35).
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Use the table to answer the question.
Hours Miles walked
14
1
12
2
34
3
1 4
It takes Julian 12
hour to walk 2 miles. He decides to start walking in his spare time, but because he wants to make sure he has enough time to go a desired distance he created the data table. At which ratio does the constant of proportionality appear?
Responses
(14, 1)
(14, 1)
(4, 1)
(4, 1)
(1, 14)
(1, 14)
(1, 4)
(1, 4)
Hours Miles walked
14
1
12
2
34
3
1 4
It takes Julian 12
hour to walk 2 miles. He decides to start walking in his spare time, but because he wants to make sure he has enough time to go a desired distance he created the data table. At which ratio does the constant of proportionality appear?
Responses
(14, 1)
(14, 1)
(4, 1)
(4, 1)
(1, 14)
(1, 14)
(1, 4)
(1, 4)
The constant of proportionality is the ratio of the two quantities that is consistent. It is given that Julian takes 1/2 hour to walk 2 miles, therefore he walks at a rate of 4 miles per hour.
So, the ratio or the constant of proportionality should be the number of miles walked in 1 hour. Looking at the options given and matching it with the rate at which Julian walks, we see this ratio appears at (1, 4), where 1 represents the hour and 4 stands for the miles walked in that hour.
So, the answer should be (1, 4).
So, the ratio or the constant of proportionality should be the number of miles walked in 1 hour. Looking at the options given and matching it with the rate at which Julian walks, we see this ratio appears at (1, 4), where 1 represents the hour and 4 stands for the miles walked in that hour.
So, the answer should be (1, 4).
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Review of the Coordinate Plane & Slope Practice question 5
I'm sorry for the confusion, but as an AI, I don't have access to specific external materials such as "Coordinate Plane & Slope Practice question 5".
However, I'd be happy to help explain or provide a review on a given Coordinate Plane & Slope Practice question if you can provide me with the details of the question! Just tell me what you need help with, and I'll do my best to offer a clear and helpful explanation.
However, I'd be happy to help explain or provide a review on a given Coordinate Plane & Slope Practice question if you can provide me with the details of the question! Just tell me what you need help with, and I'll do my best to offer a clear and helpful explanation.
Review of the Coordinate Plane & Slope Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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)
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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)
The slope of a line is calculated by the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two points on the line.
The points given are (0,2) and (1,-1).
So, you substitute these values into the formula:
Slope = (-1-2) / (1-0)
Slope = -3 / 1
Slope = -3
So, the slope of the line given in the graph, based on the points provided, is -3.
The points given are (0,2) and (1,-1).
So, you substitute these values into the formula:
Slope = (-1-2) / (1-0)
Slope = -3 / 1
Slope = -3
So, the slope of the line given in the graph, based on the points provided, is -3.
Review of the Coordinate Plane & Slope Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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 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.
(1 point)
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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 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.
(1 point)
The slope of a line is calculated using the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two points on the line.
The points given are (-6,2) and (-4,6).
You can substitute these values into the formula:
Slope = (6-2) / (-4 -(-6))
Slope = 4 / 2
Slope = 2
So, the slope of the line given in the graph, based on the points provided, is 2.
The points given are (-6,2) and (-4,6).
You can substitute these values into the formula:
Slope = (6-2) / (-4 -(-6))
Slope = 4 / 2
Slope = 2
So, the slope of the line given in the graph, based on the points provided, is 2.
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Review of the Coordinate Plane & Slope Quick Check
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 negative 8 comma 0 right parenthesis, left parenthesis 0 comma 4 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)
Responses
2
2
−12
negative Start Fraction 1 over 2 End Fraction
4
4
12
Start Fraction 1 over 2 End Fraction
Skip to navigation
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 negative 8 comma 0 right parenthesis, left parenthesis 0 comma 4 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)
Responses
2
2
−12
negative Start Fraction 1 over 2 End Fraction
4
4
12
Start Fraction 1 over 2 End Fraction
Skip to navigation
The slope of a line can be calculated using the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two different points on the line.
Here, the given points are (-8,0) and (0,4).
We can substitute these points into the formula:
Slope = (4-0) / (0 - (-8))
Slope = 4 / 8
Slope = 1/2
Therefore, the slope of the line given its graph is 1/2. So the correct response from the options provided would be "Start Fraction 1 over 2 End Fraction".
Here, the given points are (-8,0) and (0,4).
We can substitute these points into the formula:
Slope = (4-0) / (0 - (-8))
Slope = 4 / 8
Slope = 1/2
Therefore, the slope of the line given its graph is 1/2. So the correct response from the options provided would be "Start Fraction 1 over 2 End Fraction".
Review of the Coordinate Plane & Slope Quick Check
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 negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 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)
Responses
−18
negative Start Fraction 1 over 8 End Fraction
8
8
18
Start Fraction 1 over 8 End Fraction
1
1
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 negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 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)
Responses
−18
negative Start Fraction 1 over 8 End Fraction
8
8
18
Start Fraction 1 over 8 End Fraction
1
1
The slope of a line can be calculated using the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two different points on the line.
Here, the given points are (-4,7) and (4,8).
We can substitute these points into the formula:
Slope = (8-7) / (4 - (-4))
Slope = 1 / 8
Slope = 1/8
Therefore, the slope of the line given its graph is 1/8. So the correct response from the options provided would be "Start Fraction 1 over 8 End Fraction".
Here, the given points are (-4,7) and (4,8).
We can substitute these points into the formula:
Slope = (8-7) / (4 - (-4))
Slope = 1 / 8
Slope = 1/8
Therefore, the slope of the line given its graph is 1/8. So the correct response from the options provided would be "Start Fraction 1 over 8 End Fraction".
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 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 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)
Responses
1
1
−1
negative 1
−5
negative 5
−56
negative Start Fraction 5 over 6 End Fraction
Skip to navigation
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 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 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)
Responses
1
1
−1
negative 1
−5
negative 5
−56
negative Start Fraction 5 over 6 End Fraction
Skip to navigation
The slope of a line can be calculated using the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two different points on the line.
Here, the given points are (-3,1) and (2,-4).
We can substitute these points into the formula:
Slope = (-4-1) / (2 - (-3))
Slope = -5 / 5
Slope = -1
Therefore, the slope of the line given by its graph is -1. So the correct response from the options provided would be "negative 1".
Here, the given points are (-3,1) and (2,-4).
We can substitute these points into the formula:
Slope = (-4-1) / (2 - (-3))
Slope = -5 / 5
Slope = -1
Therefore, the slope of the line given by its graph is -1. So the correct response from the options provided would be "negative 1".
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