find the slope of the line that passes through (-3, 57) and (12, 19). simplify your answer and write it as a…

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 $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-3$, $y_1 = 57$, $x_2=12$, and $y_2 = 19$.

Step2: Substitute values

$m=\frac{19 - 57}{12-(-3)}$.

Step3: Calculate numerator and denominator

The numerator $19 - 57=-38$, and the denominator $12-(-3)=12 + 3=15$.

Answer:

$-\frac{38}{15}$