Question

The equation

4x-2y=4
-4x+2y=-3
have the same/different what slopes and the same/different what y-intercept?

Answer 1

same slopes: 2. different y-intercepts: (0,-2) and (0,-1.5)

Explanation:

First, lets convert both of those to slope intercept form: y = mx + b, where m is the slope and b is the y-intercept.

4x-2y=4 simplifies to -2y=-4x+4, which is y=2x-2

-4x+2y=-3 simplifies to 2y=4x-3, which is y=2x-1.5

this means that they have the same slopes, 2.

they have different y-intercepts. the first one's is (0,-2) and the second one's is (0,-1.5)