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complete the equation describing how x and y are related. | x | y | |--…

Question

complete the equation describing how x and y are related.

xy
-414
-311
-28
-15
02

$y = ?x +$
enter the number that belongs in the green box.
submit answer

Explanation:

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 $(-3,11)$:
$m = \frac{11 - 8}{-3 - (-2)} = \frac{3}{-1} = -3$

Answer:

$-3$