Question

what is the slope of this line?
simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 given points

Let $(x_1,y_1)=(0,3)$ and $(x_2,y_2)=(2,-5)$

Step3: Substitute into slope formula

$m=\frac{-5-3}{2-0}=\frac{-8}{2}$

Step4: Simplify the fraction

$m=-4$

Answer:

$-4$