Let’s solve this step by step.
We have two rules:
1.
y = 2x
2.
y = x + 5
For each rule, we need to:
- Fill in the y-values for given x-values (-2, -1, 0, 1, 2)
- Write the ordered pairs (x, y)
- Plot them on the coordinate plane (we’ll describe how to plot, but since you’re doing it on paper, just follow the steps)
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First Rule: y = 2x
Plug in each x-value:
- When x = -2 → y = 2 × (-2) =
-4 → Ordered pair:
(-2, -4)
- When x = -1 → y = 2 × (-1) =
-2 → Ordered pair:
(-1, -2)
- When x = 0 → y = 2 × 0 =
0 → Ordered pair:
(0, 0)
- When x = 1 → y = 2 × 1 =
2 → Ordered pair:
(1, 2)
- When x = 2 → y = 2 × 2 =
4 → Ordered pair:
(2, 4)
✔ Check: All calculations are correct.
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Second Rule: y = x + 5
Plug in each x-value:
- When x = -2 → y = -2 + 5 =
3 → Ordered pair:
(-2, 3)
- When x = -1 → y = -1 + 5 =
4 → Ordered pair:
(-1, 4)
- When x = 0 → y = 0 + 5 =
5 → Ordered pair:
(0, 5)
- When x = 1 → y = 1 + 5 =
6 → Ordered pair:
(1, 6)
- When x = 2 → y = 2 + 5 =
7 → Ordered pair:
(2, 7)
✔ Check: All calculations are correct.
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How to Plot (for your graph):
On each grid:
- For
y = 2x: Plot points at (-2,-4), (-1,-2), (0,0), (1,2), (2,4). Then draw a straight line through them.
- For
y = x + 5: Plot points at (-2,3), (-1,4), (0,5), (1,6), (2,7). Then draw a straight line through them.
Make sure your axes go from at least -5 to 5 or more so all points fit!
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Final Answer:
First Table (y = 2x):
| x | y | Ordered Pairs |
|----|----|---------------|
| -2 | -4 | (-2, -4) |
| -1 | -2 | (-1, -2) |
| 0 | 0 | (0, 0) |
| 1 | 2 | (1, 2) |
| 2 | 4 | (2, 4) |
Second Table (y = x + 5):
| x | y | Ordered Pairs |
|----|----|---------------|
| -2 | 3 | (-2, 3) |
| -1 | 4 | (-1, 4) |
| 0 | 5 | (0, 5) |
| 1 | 6 | (1, 6) |
| 2 | 7 | (2, 7) |
Plot these points on their respective grids and connect with straight lines.
Parent Tip: Review the logic above to help your child master the concept of cartesian coordinates worksheet.
