what is the slope of the line that passes through the points (2, -3) and (1, -2)? write your answer in…

what is the slope of the line that passes through the points (2, -3) and (1, -2)? write your answer in simplest form.

what is the slope of the line that passes through the points (2, -3) and (1, -2)? write your answer in simplest form.

Answer

Explanation:

Step1: Recall slope - formula

The slope formula for 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 $(x_1,y_1)=(2,-3)$ and $(x_2,y_2)=(1,-2)$.

Step3: Substitute values into formula

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

Answer:

$-1$