Question

a line passes through the points in this table.
x | y
1 | 8
13 | 28
25 | 48
37 | 68
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 from table

Choose $(x_1,y_1)=(1,8)$ and $(x_2,y_2)=(13,28)$.

Step3: Substitute values into formula

$m=\frac{28-8}{13-1}=\frac{20}{12}$

Step4: Simplify the fraction

$\frac{20}{12}=\frac{5}{3}$

Answer:

$\frac{5}{3}$