Which equation describes the same line as y-3=-1(x+5)

Question

We are trying to find the y

Answer 1

Well to find the equivalent line you need to solve for y to get the equation in slope-intercept form(y=mx+b)

y - 3 = -1 (x+5) so first we need to expand 1(x+5) and we get

y - 3 = (-x) - (-5) and a negative minus anything equals positive plus something so we actually have

y - 3 = x + 5 then we need to subtract 3 from the left side to get y by itself so you get this:

y = (-x) + 2 or y = (-1x) + 2 however you want to place the x you will be right

Answer 2

***Edited to fix an error

Expanding the equation for the line will be your first step here:

y - 3 = -1(x+5)

==> y - 3 = - x - 5

==> y = -x - 5 + 3

==> y = -x - 2

That means that the slope for the new line is -1 and the y intercept is -2.

Hope this helps and good luck!