I'll solve each slope problem step by step. To find the slope, I need to identify two points on each line and use the formula: slope = (change in y) / (change in x).
Let me work through each one carefully:
Problem 1:
Looking at the line, I can pick two clear points: (-4, 0) and (2, -2)
- Change in y: -2 - 0 = -2
- Change in x: 2 - (-4) = 6
- Slope = -2/6 = -1/3
Problem 2:
Two points: (-1, -4) and (1, 4)
- Change in y: 4 - (-4) = 8
- Change in x: 1 - (-1) = 2
- Slope = 8/2 = 4
Problem 3:
Two points: (-3, 2) and (0, -4)
- Change in y: -4 - 2 = -6
- Change in x: 0 - (-3) = 3
- Slope = -6/3 = -2
Problem 4:
Two points: (-2, -4) and (2, 4)
- Change in y: 4 - (-4) = 8
- Change in x: 2 - (-2) = 4
- Slope = 8/4 = 2
Problem 5:
Two points: (-4, -4) and (0, 4)
- Change in y: 4 - (-4) = 8
- Change in x: 0 - (-4) = 4
- Slope = 8/4 = 2
Problem 6:
Two points: (0, -4) and (2, 4)
- Change in y: 4 - (-4) = 8
- Change in x: 2 - 0 = 2
- Slope = 8/2 = 4
Problem 7:
Two points: (0, 4) and (2, -4)
- Change in y: -4 - 4 = -8
- Change in x: 2 - 0 = 2
- Slope = -8/2 = -4
Problem 8:
Two points: (-2, -4) and (0, 4)
- Change in y: 4 - (-4) = 8
- Change in x: 0 - (-2) = 2
- Slope = 8/2 = 4
Final Answer:
1) -1/3
2) 4
3) -2
4) 2
5) 2
6) 4
7) -4
8) 4
Parent Tip: Review the logic above to help your child master the concept of infinite pre algebra worksheet.