Question

complete the equation describing how x and y are related.

x	y
-1	12
0	7
1	2
2	-3
3	-8

$y = ?x + \square$
enter the number that belongs in the green box.

Explanation:

Step1: Find slope (rate of change)

Take two points, e.g., $(0,7)$ and $(1,2)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$\displaystyle m=\frac{2-7}{1-0}=\frac{-5}{1}=-5$

Step2: Verify slope consistency

Check another pair, e.g., $(2,-3)$ and $(3,-8)$:
$\displaystyle m=\frac{-8-(-3)}{3-2}=\frac{-5}{1}=-5$

Answer:

$-5$