Question

what is the slope of the line that passes through the points (-2,9) and (8,34)? write your answer in simplest form.

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: Identify the points

Let $(x_1,y_1)=(-2,9)$ and $(x_2,y_2)=(8,34)$.

Step3: Substitute values into formula

$m=\frac{34 - 9}{8-(-2)}=\frac{25}{8 + 2}$.

Step4: Simplify the fraction

$m=\frac{25}{10}=\frac{5}{2}$.

Answer:

$\frac{5}{2}$