what is the slope of the line that passes through the points (2,9) and (18, - 3)? write your answer in…

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

Here, $(x_1,y_1)=(2,9)$ and $(x_2,y_2)=(18, - 3)$.

Step3: Substitute values into formula

$m=\frac{-3 - 9}{18 - 2}=\frac{-12}{16}$.

Step4: Simplify the fraction

$\frac{-12}{16}=-\frac{3}{4}$.

Answer:

$-\frac{3}{4}$