Let’s solve each table step by step.
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First Equation: y = 2x + 6
We plug in each x value to find y, then write the point (x, y).
- When x = -2:
y = 2*(-2) + 6 = -4 + 6 =
2 → Point: (-2, 2)
- When x = -1:
y = 2*(-1) + 6 = -2 + 6 =
4 → Point: (-1, 4)
- When x = 0:
y = 2*0 + 6 = 0 + 6 =
6 → Point: (0, 6)
- When x = 1:
y = 2*1 + 6 = 2 + 6 =
8 → Point: (1, 8)
- When x = 2:
y = 2*2 + 6 = 4 + 6 =
10 → Point: (2, 10)
✔ All calculations checked — correct.
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Second Equation: y = 3x - 4
Again, plug in each x value.
- When x = -2:
y = 3*(-2) - 4 = -6 - 4 =
-10 → Point: (-2, -10)
- When x = -1:
y = 3*(-1) - 4 = -3 - 4 =
-7 → Point: (-1, -7)
- When x = 0:
y = 3*0 - 4 = 0 - 4 =
-4 → Point: (0, -4)
- When x = 1:
y = 3*1 - 4 = 3 - 4 =
-1 → Point: (1, -1)
- When x = 2:
y = 3*2 - 4 = 6 - 4 =
2 → Point: (2, 2)
✔ All calculations checked — correct.
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Final Answer:
For y = 2x + 6:
| x | y = 2x + 6 | y | (x,y) |
|----|------------|----|-----------|
| -2 | | 2 | (-2, 2) |
| -1 | | 4 | (-1, 4) |
| 0 | | 6 | (0, 6) |
| 1 | | 8 | (1, 8) |
| 2 | | 10 | (2, 10) |
For y = 3x - 4:
| x | y = 3x - 4 | y | (x,y) |
|----|------------|-----|------------|
| -2 | | -10 | (-2, -10) |
| -1 | | -7 | (-1, -7) |
| 0 | | -4 | (0, -4) |
| 1 | | -1 | (1, -1) |
| 2 | | 2 | (2, 2) |
You can now plot these points on the graphs and draw straight lines through them.
Parent Tip: Review the logic above to help your child master the concept of graphing using a table worksheet.
