write the equation of the line that passes through the points (9, -4) and (2, -2). put your answer in fully…

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(9,-4)$ and $(x_2,y_2)=(2,-2)$. Then $m=\frac{-2-(-4)}{2 - 9}=\frac{-2 + 4}{2-9}=\frac{2}{-7}=-\frac{2}{7}$.

Step2: Use point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(2,-2)$ and $m =-\frac{2}{7}$, we get $y-(-2)=-\frac{2}{7}(x - 2)$.

Step3: Simplify

$y + 2=-\frac{2}{7}(x - 2)$

Answer:

$y + 2=-\frac{2}{7}(x - 2)$