what is the slope of the line that passes through the points $(-9, 0)$ and $(-17, 4)$? write your answer in…

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 $(x_1,y_1)=(-9,0)$ and $(x_2,y_2)=(-17,4)$

Step3: Substitute into formula

$m=\frac{4-0}{-17-(-9)}$

Step4: Simplify numerator and denominator

$m=\frac{4}{-17+9}=\frac{4}{-8}$

Step5: Reduce fraction to simplest form

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

Answer:

$-\frac{1}{2}$