Let’s solve this step by step.
We have two rules to work with:
1.
y = 2x
2.
y = x + 5
For each rule, we need to:
- Fill in the table for x values: -2, -1, 0, 1, 2
- Write the ordered pairs (x, y)
- Plot them on the coordinate plane (we’ll describe how, since we can’t draw here)
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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)
So the first table becomes:
| x | y | Ordered Pairs |
|----|----|---------------|
| -2 | -4 | (-2, -4) |
| -1 | -2 | (-1, -2) |
| 0 | 0 | (0, 0) |
| 1 | 2 | (1, 2) |
| 2 | 4 | (2, 4) |
To plot these: Start at origin (0,0). For (-2,-4), go left 2, down 4. For (1,2), go right 1, up 2. Connect the dots — you’ll see a straight line going up steeply.
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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)
So the second table becomes:
| x | y | Ordered Pairs |
|----|----|---------------|
| -2 | 3 | (-2, 3) |
| -1 | 4 | (-1, 4) |
| 0 | 5 | (0, 5) |
| 1 | 6 | (1, 6) |
| 2 | 7 | (2, 7) |
To plot these: Start at (0,5) — that’s 5 units up from origin. Then (-2,3) is left 2, up 3. (2,7) is right 2, up 7. Again, connect the dots — it’s a straight line, but less steep than the first one.
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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 each set of points on their respective coordinate planes and draw a straight line through them.
Parent Tip: Review the logic above to help your child master the concept of function table worksheets.
