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 $(x_1,y_1)=(-4,0)$ and $(x_2,y_2)=(0,2)$

Step3: Substitute values into formula

$m=\frac{2-0}{0-(-4)}=\frac{2}{4}$

Step4: Simplify the fraction

$m=\frac{1}{2}$

Answer:

$\frac{1}{2}$