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: Assign point values

Let $(x_1,y_1)=(-3,-2)$ and $(x_2,y_2)=(6,4)$.

Step3: Substitute into formula

$m=\frac{4-(-2)}{6-(-3)}=\frac{4+2}{6+3}=\frac{6}{9}$

Step4: Simplify the fraction

$\frac{6}{9}=\frac{2}{3}$

Answer:

$\frac{2}{3}$