QUESTION IMAGE
Question
complete the equation describing how x and y are related.
| x | y |
|---|---|
| -4 | 14 |
| -3 | 11 |
| -2 | 8 |
| -1 | 5 |
| 0 | 2 |
$y = ?x +$
enter the number that belongs in the green box.
submit answer
Step1: Calculate slope (m)
Choose two points, e.g., $(0,2)$ and $(-1,5)$.
Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{5 - 2}{-1 - 0} = \frac{3}{-1} = -3$
Step2: Verify slope consistency
Check another pair, e.g., $(-2,8)$ and $(-3,11)$:
$m = \frac{11 - 8}{-3 - (-2)} = \frac{3}{-1} = -3$
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