1. y = (1/2)x + 1
- Y-intercept: (0, 1)
- Slope: 1/2 (rise 1, run 2)
- Plot (0, 1), then go up 1 and right 2 to (2, 2), draw line.
2. y = 2x - 2
- Y-intercept: (0, -2)
- Slope: 2 (rise 2, run 1)
- Plot (0, -2), then go up 2 and right 1 to (1, 0), draw line.
3. y = (2/3)x - 4
- Y-intercept: (0, -4)
- Slope: 2/3 (rise 2, run 3)
- Plot (0, -4), then go up 2 and right 3 to (3, -2), draw line.
4. y = -x - 6
- Y-intercept: (0, -6)
- Slope: -1 (rise -1, run 1)
- Plot (0, -6), then go down 1 and right 1 to (1, -7), draw line.
5. y = 3x + 9
- Y-intercept: (0, 9)
- Slope: 3 (rise 3, run 1)
- Plot (0, 9), then go up 3 and right 1 to (1, 12), draw line.
6. y = 0
- Horizontal line through y = 0 (the x-axis).
7. 6x + y = 0 → y = -6x
- Y-intercept: (0, 0)
- Slope: -6 (rise -6, run 1)
- Plot (0, 0), then go down 6 and right 1 to (1, -6), draw line.
8. 3x + y = 12 → y = -3x + 12
- Y-intercept: (0, 12)
- Slope: -3 (rise -3, run 1)
- Plot (0, 12), then go down 3 and right 1 to (1, 9), draw line.
9. 4x - 10y = 20 → y = (2/5)x - 2
- Y-intercept: (0, -2)
- Slope: 2/5 (rise 2, run 5)
- Plot (0, -2), then go up 2 and right 5 to (5, 0), draw line.
10. y = -(3/2)x + 1
- Y-intercept: (0, 1)
- Slope: -3/2 (rise -3, run 2)
- Plot (0, 1), then go down 3 and right 2 to (2, -2), draw line.
11. y = 2x - 1
- Y-intercept: (0, -1)
- Slope: 2 (rise 2, run 1)
- Plot (0, -1), then go up 2 and right 1 to (1, 1), draw line.
12. -2x + 8y = 8 → y = (1/4)x + 1
- Y-intercept: (0, 1)
- Slope: 1/4 (rise 1, run 4)
- Plot (0, 1), then go up 1 and right 4 to (4, 2), draw line.
13. x + y = 0 → y = -x
- Y-intercept: (0, 0)
- Slope: -1 (rise -1, run 1)
- Plot (0, 0), then go down 1 and right 1 to (1, -1), draw line.
Parent Tip: Review the logic above to help your child master the concept of matching equations and graphs worksheet.