Question

a line passes through the points in this table.

x	y
-8	2
-4	5
4	11
16	20

what is the slope of the line?
write your answer as an integer or simplified fraction.

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Select two points

Choose $(-8,2)$ and $(-4,5)$.

Step3: Substitute into formula

$m=\frac{5-2}{-4-(-8)}=\frac{3}{4}$

Step4: Verify with other points

Use $(4,11)$ and $(16,20)$: $m=\frac{20-11}{16-4}=\frac{9}{12}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$