1. For the equation 2x + 4y = 0:
- Solve for y: y = -0.5x
- This is a line through the origin (0,0) with slope -0.5.
- Plot points: (0,0), (2,-1), (-2,1).
2. For the equation 2x + y = 6:
- Solve for y: y = -2x + 6
- Y-intercept: (0,6)
- X-intercept: set y=0 → 2x=6 → x=3 → (3,0)
- Plot points: (0,6), (3,0).
3. For the equation 3y = 3x - 9:
- Solve for y: y = x - 3
- Y-intercept: (0,-3)
- X-intercept: set y=0 → x=3 → (3,0)
- Plot points: (0,-3), (3,0).
4. For the equation 4x = 3y + 3:
- Solve for y: 3y = 4x - 3 → y = (4/3)x - 1
- Y-intercept: (0,-1)
- X-intercept: set y=0 → 4x=3 → x=0.75 → (0.75,0)
- Plot points: (0,-1), (3,3) [since y=(4/3)(3)-1=4-1=3].
5. For the equation 3x = 18 - 7:
- Simplify: 3x = 11 → x = 11/3 ≈ 3.67
- This is a vertical line at x ≈ 3.67.
- Plot points: (11/3, 0), (11/3, 1), (11/3, -1).
6. For the equation 2x + 4y = 20:
- Solve for y: 4y = -2x + 20 → y = -0.5x + 5
- Y-intercept: (0,5)
- X-intercept: set y=0 → -0.5x + 5 = 0 → x=10 → (10,0)
- Plot points: (0,5), (10,0).
Parent Tip: Review the logic above to help your child master the concept of linear equations graphing worksheet.
