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=(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=(-4-2)/(-1-(-6))=(-6)/(-1+6)=(-6)/(5)=-(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=-(6)/(5)(x+6) \\ y+4=-(6)/(5)(x+1) \end{gathered}`