Question

Write the equation in slope-intercept form for the line that passes through the given point

and is parallel to the given equation.
2y = 2x - 4
and passes through (-5, -1)

Answer 1

y=x+4

Explanation:

2y=2x+4 simplifies down to y=x-2. Since the two lines are parallel, they have to have the same slope, but different y-intercepts. This means that we just have to find the y-intercept that will allow our line to pass through (-5, -1).

If we input the coordinates into what of our equation we have thus far (y=x+b), we just have to find what b needs to equal to make the equation true.

-1=-5+b -1=-5+4

b = 4 -1=-1