I'll solve this problem by finding the slope of each line graph shown in the worksheet. The slope is calculated using the formula: slope = (change in y) / (change in x) or rise/run.
Let me go through each graph one by one:
Graph 1 (top left):
- The line goes from approximately (-4, 2) to (4, 0)
- Change in y = 0 - 2 = -2
- Change in x = 4 - (-4) = 8
- Slope = -2/8 = -1/4
Graph 2 (top middle):
- The line goes from approximately (-3, -2) to (3, 4)
- Change in y = 4 - (-2) = 6
- Change in x = 3 - (-3) = 6
- Slope = 6/6 = 1
Graph 3 (top right):
- The line goes from approximately (-2, 0) to (4, 6)
- Change in y = 6 - 0 = 6
- Change in x = 4 - (-2) = 6
- Slope = 6/6 = 1
Graph 4 (middle left):
- The line goes from approximately (-2, 5) to (2, -3)
- Change in y = -3 - 5 = -8
- Change in x = 2 - (-2) = 4
- Slope = -8/4 = -2
Graph 5 (middle middle):
- The line goes from approximately (-4, 1) to (4, 3)
- Change in y = 3 - 1 = 2
- Change in x = 4 - (-4) = 8
- Slope = 2/8 = 1/4
Graph 6 (middle right):
- The line is horizontal, going from approximately (-4, 3) to (4, 3)
- Change in y = 3 - 3 = 0
- Change in x = 4 - (-4) = 8
- Slope = 0/8 = 0
Graph 7 (bottom left):
- The line goes from approximately (-4, 3) to (0, -1)
- Change in y = -1 - 3 = -4
- Change in x = 0 - (-4) = 4
- Slope = -4/4 = -1
Graph 8 (bottom middle):
- The line goes from approximately (-1, 5) to (1, -3)
- Change in y = -3 - 5 = -8
- Change in x = 1 - (-1) = 2
- Slope = -8/2 = -4
Graph 9 (bottom right):
- The line goes from approximately (-2, -2) to (2, 6)
- Change in y = 6 - (-2) = 8
- Change in x = 2 - (-2) = 4
- Slope = 8/4 = 2
The slopes for each graph are:
1. -1/4
2. 1
3. 1
4. -2
5. 1/4
6. 0
7. -1
8. -4
9. 2
Parent Tip: Review the logic above to help your child master the concept of slope practice worksheet.