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

The points are $(0,-5)$ and $(3,-3)$, so $x_1=0, y_1=-5, x_2=3, y_2=-3$

Step3: Substitute values into formula

$m=\frac{-3-(-5)}{3-0}=\frac{-3+5}{3}=\frac{2}{3}$

Answer:

$\frac{2}{3}$