Let’s solve this step by step.
We are given two linear equations and tables to fill in. For each equation, we plug in the x-values to find y, then write the point (x, y). After that, we’d graph them — but since we’re not drawing here, we’ll just complete the tables correctly.
---
First Equation: y = 2x + 6
We plug in each x-value:
- 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 values check out.
---
Second Equation: y = 3x - 4
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 values check out.
---
Now, if you were to graph these:
- For y = 2x + 6, plot points like (-2,2), (-1,4), (0,6), etc. They will form a straight line going up to the right.
- For y = 3x - 4, plot points like (-2,-10), (-1,-7), (0,-4), etc. Also a straight line, steeper than the first one.
You can connect the points with a ruler to draw the lines.
---
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 xy tables worksheet.
