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 formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify the two - points

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

Step3: Substitute values into formula

$m=\frac{2-(-4)}{2 - (-2)}=\frac{2 + 4}{2+2}$.

Step4: Simplify the fraction

$m=\frac{6}{4}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$