a line contains the points (34, 12) and (32, 48). what is the slope of the line in simplified form? enter…

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, let $(x_1,y_1)=(34,12)$ and $(x_2,y_2)=(32,48)$.

Step2: Substitute values

$m=\frac{48 - 12}{32 - 34}=\frac{36}{-2}$.

Step3: Simplify the fraction

$\frac{36}{-2}=- 18$.

Answer:

$-18$