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 $(x_1,y_1)=(-3,4)$ and $(x_2,y_2)=(0,5)$.

Step3: Substitute into slope formula

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

Answer:

$\frac{1}{3}$