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

Use $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(-1,5)$

Step3: Substitute into slope formula

$m=\frac{5-0}{-1-0}=\frac{5}{-1}$

Step4: Simplify the expression

$m=-5$

Answer:

$-5$