Let’s solve each table step by step.
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First Equation: y = 2x + 6
We plug in each x-value into the equation 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)
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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)
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Final Answer:
For y = 2x + 6:
- x = -2 → y = 2 → (-2, 2)
- x = -1 → y = 4 → (-1, 4)
- x = 0 → y = 6 → (0, 6)
- x = 1 → y = 8 → (1, 8)
- x = 2 → y = 10 → (2, 10)
For y = 3x - 4:
- x = -2 → y = -10 → (-2, -10)
- x = -1 → y = -7 → (-1, -7)
- x = 0 → y = -4 → (0, -4)
- x = 1 → y = -1 → (1, -1)
- x = 2 → y = 2 → (2, 2)
Parent Tip: Review the logic above to help your child master the concept of graphing linear equations using a table worksheet.