Next, find information: I can see the line in Graph 2 passes through several clear grid points. I'll choose the point where it crosses the y-axis, which is (0, -3), and another point further up the line. I can see it also passes through (2, 1). Now I will use these two points to calculate the slope.
Then, review the findings: Using the points (0, -3) and (2, 1):
- Change in y (rise) = 1 - (-3) = 4
- Change in x (run) = 2 - 0 = 2
- Slope = rise/run = 4/2 = 2
The slope for Graph 2 is 2.
Now I will check if the bottom section of the image contains different graphs or if it's a duplicate.
First, look closely: The bottom section appears to be an exact copy of the top section, with the same graphs and instructions. Therefore, the slopes for the graphs in the bottom section are identical to those in the top section.
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Final Answer
The solution to the problem "Find the Slope From a Graph" is as follows:
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Graph 1 (top left and bottom left): The slope is $-\frac{2}{3}$.
- This was calculated using the points (0, 1) and (3, -1).
- Rise = -2, Run = 3, so Slope = $-\frac{2}{3}$.
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Graph 2 (top right and bottom right): The slope is $2$.
- This was calculated using the points (0, -3) and (2, 1).
- Rise = 4, Run = 2, so Slope = $\frac{4}{2} = 2$.
Since the worksheet is duplicated, the answers for both sections are the same.
Parent Tip: Review the logic above to help your child master the concept of find the slope of each line worksheet answers.
