1. x + 12 = 6y
- For x = -12: -12 + 12 = 6y → 0 = 6y → y = 0
- For x = -6: -6 + 12 = 6y → 6 = 6y → y = 1
- For x = 0: 0 + 12 = 6y → 12 = 6y → y = 2
- For x = 6: 6 + 12 = 6y → 18 = 6y → y = 3
- For x = 12: 12 + 12 = 6y → 24 = 6y → y = 4
- Table:
x | y
-12 | 0
-6 | 1
0 | 2
6 | 3
12 | 4
- Plot the points (-12, 0), (-6, 1), (0, 2), (6, 3), (12, 4) and draw a line through them.
2. y = 3x + 1
- For x = 1: y = 3(1) + 1 = 4
- For x = 0: y = 3(0) + 1 = 1
- For x = -1: y = 3(-1) + 1 = -2
- For x = -2: y = 3(-2) + 1 = -5
- Table:
x | y
1 | 4
0 | 1
-1 | -2
-2 | -5
- Plot the points (1, 4), (0, 1), (-1, -2), (-2, -5) and draw a line through them.
3. y = (3/4)x
- For x = -4: y = (3/4)(-4) = -3
- For x = 0: y = (3/4)(0) = 0
- For x = 2: y = (3/4)(2) = 1.5
- For x = 4: y = (3/4)(4) = 3
- Table:
x | y
-4 | -3
0 | 0
2 | 1.5
4 | 3
- Plot the points (-4, -3), (0, 0), (2, 1.5), (4, 3) and draw a line through them.
4. y = -2x + 2
- For x = -2: y = -2(-2) + 2 = 4 + 2 = 6
- For x = 1: y = -2(1) + 2 = -2 + 2 = 0
- For x = 3: y = -2(3) + 2 = -6 + 2 = -4
- For x = 0: y = -2(0) + 2 = 0 + 2 = 2
- Table:
x | y
-2 | 6
1 | 0
3 | -4
0 | 2
- Plot the points (-2, 6), (1, 0), (3, -4), (0, 2) and draw a line through them.
5. y = -x
- For x = 5: y = -5
- For x = 0: y = 0
- For x = -1: y = 1
- For x = -3: y = 3
- Table:
x | y
5 | -5
0 | 0
-1 | 1
-3 | 3
- Plot the points (5, -5), (0, 0), (-1, 1), (-3, 3) and draw a line through them.
6. y = 3x
- For x = -1: y = 3(-1) = -3
- For x = 1: y = 3(1) = 3
- For x = 0: y = 3(0) = 0
- For x = 1.5: y = 3(1.5) = 4.5
- Table:
x | y
-1 | -3
1 | 3
0 | 0
1.5 | 4.5
- Plot the points (-1, -3), (1, 3), (0, 0), (1.5, 4.5) and draw a line through them.
Parent Tip: Review the logic above to help your child master the concept of variable graph worksheet.
