Question

complete the equation describing how x and y are related.

x	y
-2	-1
-1	3
0	7
1	11
2	15

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

Explanation:

Step1: Identify slope formula

The slope $m$ of a linear equation $y=mx+b$ is calculated as $m=\frac{y_2-y_1}{x_2-x_1}$ using two points $(x_1,y_1)$ and $(x_2,y_2)$.

Step2: Pick two points from table

Choose $(x_1,y_1)=(0,7)$ and $(x_2,y_2)=(1,11)$.

Step3: Calculate the slope

$m=\frac{11-7}{1-0}=\frac{4}{1}=4$

Answer:

4