Question

what is the slope of this line?

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 $(x_1,y_1)=(0,-1)$ and $(x_2,y_2)=(5,3)$

Step3: Substitute into slope formula

$m=\frac{3-(-1)}{5-0}=\frac{3+1}{5}=\frac{4}{5}$

Answer:

$\frac{4}{5}$