Question

what is the slope of the line that passes through the points (-9, 2) and (9, 6)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-9,y_1 = 2,x_2=9,y_2 = 6$.

Step2: Substitute values

$m=\frac{6 - 2}{9-(-9)}$.

Step3: Simplify numerator and denominator

The numerator $6 - 2=4$, and the denominator $9-(-9)=9 + 9=18$. So $m=\frac{4}{18}$.

Step4: Reduce the fraction

Dividing both numerator and denominator by 2, we get $m=\frac{2}{9}$.

Answer:

$\frac{2}{9}$