Question

a line passes through the points in this table.

x	y
-8	20
8	14
16	11
56	-4

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

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points from table

Use $(-8, 20)$ and $(8, 14)$

Step3: Substitute values into formula

$m = \frac{14 - 20}{8 - (-8)} = \frac{-6}{16}$

Step4: Simplify the fraction

$m = \frac{-3}{8}$

Answer:

$\frac{-3}{8}$