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 $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(4,-5)$

Step3: Substitute values into formula

$m=\frac{-5-2}{4-0}=\frac{-7}{4}$

Answer:

$\boldsymbol{-\frac{7}{4}}$