Question

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

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 $(x_2,y_2)=(-4,-5)$

Step3: Substitute into slope formula

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

Step4: Simplify the fraction

$\frac{-5}{-4}=\frac{5}{4}$

Answer:

$\frac{5}{4}$