1) x + 4y = 0
- Solve for y: y = -x/4
- When x=0, y=0 → (0, 0)
- When x=4, y=-1 → (4, -1)
- Plot (0, 0) and (4, -1), draw line through them.
2) x + y + 5 = 0
- Solve for y: y = -x - 5
- When x=0, y=-5 → (0, -5)
- When x=-5, y=0 → (-5, 0)
- Plot (0, -5) and (-5, 0), draw line through them.
3) 3y - x - 3 = 0
- Solve for y: y = (x + 3)/3
- When x=0, y=1 → (0, 1)
- When x=3, y=2 → (3, 2)
- Plot (0, 1) and (3, 2), draw line through them.
4) 4x + 3y = 3
- Solve for y: y = (3 - 4x)/3
- When x=0, y=1 → (0, 1)
- When x=3, y=-3 → (3, -3)
- Plot (0, 1) and (3, -3), draw line through them.
5) -2y = 10 - 7
- Simplify: -2y = 3 → y = -3/2
- This is a horizontal line at y = -1.5
- Draw a horizontal line through y = -1.5.
6) 2x + 5y = 10
- Solve for y: y = (10 - 2x)/5
- When x=0, y=2 → (0, 2)
- When x=5, y=0 → (5, 0)
- Plot (0, 2) and (5, 0), draw line through them.
Parent Tip: Review the logic above to help your child master the concept of graph functions worksheet.