Question

Which of the following equations describes the line shownbelow? Check all that apply.6((-6,2)(-1,-4)

Answer 1

First, we have to find the slope

$m=\frac{y_2-y_1}{x_2-x_1}$

Where,

$\begin{gathered} x_1=-6 \\ x_2=-1 \\ y_1=2 \\ y_2=-4 \end{gathered}$$m=\frac{-4-2}{-1-(-6)}=\frac{-6}{-1+6}=\frac{-6}{5}=-\frac{6}{5}$

This means A and B represent the line because they use the same slope and the same coordinates.

$\begin{gathered} y-y_1=m(x-x_1) \\ y-2=-\frac{6}{5}(x+6) \\ y+4=-\frac{6}{5}(x+1) \end{gathered}$