what is the slope of the line that passes through the points (1, -9) and (4, -7)? 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, $x_1 = 1,y_1=-9,x_2 = 4,y_2=-7$.

Step3: Substitute values into formula

$m=\frac{-7-(-9)}{4 - 1}=\frac{-7 + 9}{3}=\frac{2}{3}$

Answer:

$\frac{2}{3}$