Question
Question 1
A)
Use the values in the table to determine slope.
(1 point)
Responses
−32
negative 3 halves
0
0
32
3 halves
None
None
Question 2
A)
Use the graph to find the slope.
slope=riserun
(1 point)
The runner's speed is
minutes per mile.
Question 3
A)Which linear functions represent a slope of 4? Select the two that apply.(2 points)
Responses
Question 4
A)
Using the graph, determine the value of the slope.
(2 points)
The slope of the line is
.
What is true about the graph?
Question 5
A)
Garrett found the slope of the values in the table:
Is Garrett correct? If not, identify his error.
(1 point)
Responses
No, he should have gotten the answer 125
.
No, he should have gotten the answer 1 over 25.
No, he should have gotten a negative answer for slope because the values are decreasing.
No, he should have gotten a negative answer for slope because the values are decreasing.
No, he should have put the x-values in the numerator and the y-values in the denominator.
No, he should have put the x-values in the numerator and the y-values in the denominator.
Yes, Garrett found the slope correctly.
Yes, Garrett found the slope correctly.
Question 6
A)
You can use the Desmos Graphing Calculator to help answer this question.
A line passes through the point (0, 1)
and has a positive slope. Which of these points could that line NOT pass through. Select the two that apply.
(2 points)
Responses
(12, 3)
(12, 3)
(−2, −5)
(−2, −5)
(1, 15)
(1, 15)
(−3, 1)
(−3, 1)
(5, −2)
(5, −2)
A)
Use the values in the table to determine slope.
(1 point)
Responses
−32
negative 3 halves
0
0
32
3 halves
None
None
Question 2
A)
Use the graph to find the slope.
slope=riserun
(1 point)
The runner's speed is
minutes per mile.
Question 3
A)Which linear functions represent a slope of 4? Select the two that apply.(2 points)
Responses
Question 4
A)
Using the graph, determine the value of the slope.
(2 points)
The slope of the line is
.
What is true about the graph?
Question 5
A)
Garrett found the slope of the values in the table:
Is Garrett correct? If not, identify his error.
(1 point)
Responses
No, he should have gotten the answer 125
.
No, he should have gotten the answer 1 over 25.
No, he should have gotten a negative answer for slope because the values are decreasing.
No, he should have gotten a negative answer for slope because the values are decreasing.
No, he should have put the x-values in the numerator and the y-values in the denominator.
No, he should have put the x-values in the numerator and the y-values in the denominator.
Yes, Garrett found the slope correctly.
Yes, Garrett found the slope correctly.
Question 6
A)
You can use the Desmos Graphing Calculator to help answer this question.
A line passes through the point (0, 1)
and has a positive slope. Which of these points could that line NOT pass through. Select the two that apply.
(2 points)
Responses
(12, 3)
(12, 3)
(−2, −5)
(−2, −5)
(1, 15)
(1, 15)
(−3, 1)
(−3, 1)
(5, −2)
(5, −2)
Answers
Answered by
GPT-4o mini
Let's address each question one by one:
### Question 1
A) To determine the slope from the given values in the table, you typically use the formula for slope, which is:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
Without the specific values from the table, I cannot calculate the slope (e.g., \(m = -32\), \(\frac{-3}{2}\), etc.) Assess the given points in your table to compute this value using the above formula.
### Question 2
A) The slope is defined as "rise over run." If the graph provides points through which you can determine the rise (the change in y) and the run (the change in x), use the following:
\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x}
\]
With minutes per mile indicated, if the slope is interpreted correctly, it might be a value like 8 minutes/mile, etc. Verify your graph for exact numerical values on the axes.
### Question 3
A) Linear functions that represent a slope of 4 can be written in the slope-intercept form \(y = mx + b\), where \(m\) is the slope. Functions like:
- \(y = 4x\)
- \(y = 4x + 1\)
would be valid. To choose the correct options, look for those with 4 as the coefficient of \(x\).
### Question 4
A) Similar to previous slope questions, determine the slope from the graph using any two clear points on the line and applying the slope formula mentioned earlier. Once established, you can describe the behavior of the line (increasing, decreasing, constant, etc.).
### Question 5
A) Garrett's assessment of the slope could be evaluated based on the calculations he performed. If his calculated slope deviated from the correct formula calculation (using \(y\) values over \(x\) values appropriately), the relevant choice could point to his mistake. A clear understanding of "rise over run" will clarify if he was correct or not.
### Question 6
A) A line with a positive slope starting at (0,1) will increase as you move to the right. Therefore, if a point has a y-value lower than 1 while having a greater x-value, it cannot lie on that line. Check points:
- (12, 3): Can possibly lie on the line since it is above (0,1).
- (−2, −5): Definitely cannot lie above the starting point of (0,1).
- (1, 15): Can lie on the line as it is above.
- (−3, 1): Can lie since it’s horizontally aligned with y=1.
- (5, −2): Cannot lie as it dips below the y=1 level.
Thus, the points that the line cannot pass through are likely (−2, −5) and (5, −2).
---
Overall, to provide specific numerical answers or confirm Garrett's correctness, I would need the data or graphs mentioned in your questions. Make sure to apply the concepts of slope calculation thoroughly to determine the answers accurately!
### Question 1
A) To determine the slope from the given values in the table, you typically use the formula for slope, which is:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
Without the specific values from the table, I cannot calculate the slope (e.g., \(m = -32\), \(\frac{-3}{2}\), etc.) Assess the given points in your table to compute this value using the above formula.
### Question 2
A) The slope is defined as "rise over run." If the graph provides points through which you can determine the rise (the change in y) and the run (the change in x), use the following:
\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x}
\]
With minutes per mile indicated, if the slope is interpreted correctly, it might be a value like 8 minutes/mile, etc. Verify your graph for exact numerical values on the axes.
### Question 3
A) Linear functions that represent a slope of 4 can be written in the slope-intercept form \(y = mx + b\), where \(m\) is the slope. Functions like:
- \(y = 4x\)
- \(y = 4x + 1\)
would be valid. To choose the correct options, look for those with 4 as the coefficient of \(x\).
### Question 4
A) Similar to previous slope questions, determine the slope from the graph using any two clear points on the line and applying the slope formula mentioned earlier. Once established, you can describe the behavior of the line (increasing, decreasing, constant, etc.).
### Question 5
A) Garrett's assessment of the slope could be evaluated based on the calculations he performed. If his calculated slope deviated from the correct formula calculation (using \(y\) values over \(x\) values appropriately), the relevant choice could point to his mistake. A clear understanding of "rise over run" will clarify if he was correct or not.
### Question 6
A) A line with a positive slope starting at (0,1) will increase as you move to the right. Therefore, if a point has a y-value lower than 1 while having a greater x-value, it cannot lie on that line. Check points:
- (12, 3): Can possibly lie on the line since it is above (0,1).
- (−2, −5): Definitely cannot lie above the starting point of (0,1).
- (1, 15): Can lie on the line as it is above.
- (−3, 1): Can lie since it’s horizontally aligned with y=1.
- (5, −2): Cannot lie as it dips below the y=1 level.
Thus, the points that the line cannot pass through are likely (−2, −5) and (5, −2).
---
Overall, to provide specific numerical answers or confirm Garrett's correctness, I would need the data or graphs mentioned in your questions. Make sure to apply the concepts of slope calculation thoroughly to determine the answers accurately!