Question

what is the slope of the line that passes through the points $(2, -3)$ and $(1, -2)$? 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: Assign point values

Let $(x_1,y_1)=(2,-3)$ and $(x_2,y_2)=(1,-2)$

Step3: Substitute into formula

$m=\frac{-2-(-3)}{1-2}=\frac{-2+3}{-1}$

Step4: Simplify the expression

$m=\frac{1}{-1}=-1$

Answer:

$-1$