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.
Answer
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:
$-1$