find the slope of the line that passes through the pair of points. write your answer as an improper…

Explanation:

Step1: Recall slope - formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-12,15)$ and $(x_2,y_2)=(18, - 13)$.

Step3: Substitute values into formula

$m=\frac{-13 - 15}{18-(-12)}$.

Step4: Simplify numerator and denominator

The numerator is $-13 - 15=-28$, and the denominator is $18-(-12)=18 + 12 = 30$. So $m=\frac{-28}{30}$.

Step5: Reduce the fraction

$m=-\frac{14}{15}$.

Answer:

$-\frac{14}{15}$