Question

Need help understanding how to figure this out. I am confused

Answer 1

Given the figure of a line passes through the points (-2, 5) and (2, -3)

We will select all the equations that represent the line.

First, we will find the slope of the line as follows:

$slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-5}{2-(-2)}=\frac{-8}{4}=-2$

We will write the equation in the point-slope form using the point (-2,5)

$y-5=-2(x+2)$

We will write the equation of the line in the point-slope form using the point (2, -3)

$y+3=-2(x-2)$

We will write the equation of the line in the slope-intercept form:

$\begin{gathered} y=-2(x+2)+5 \\ y=-2x-4+5 \\ \\ y=-2x+1 \end{gathered}$

So, the answer will be the following options:

D. y+3 = -2(x-2)

E. y = -2x + 1

F. y-5 = -2(x+2)