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=(y_2-y_1)/(x_2-x_1)=(-3-5)/(2-(-2))=(-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)