Y=2x-2 y+2x=-3 identify the relationship between the graph of these two equations 1. parallel 2.perpendicular 3. neither

The answer is 3.neither

Why?
The equation of a straight line is usually written as y=mx+c, where m is slope and c is y-intercept (y when x=0).

From the equation above:
1. y=2x-2
It means m=2
2. y+2x=-3
substract 2x from both sides,
y+2x-2x=-2x-3
y=-2x-3
It means m=-2

Let m1=2 and m2=-2

Parallel line should have same slope (m1=m2).
In this case, m1 ≠ m2.
So, the two equations are not parallel.

Perpendicular line should have negative reciprocal slope of each other (m1 x m2 = -1)
In this case, m1 x m2 = 2 x -2 = -4 ≠ -1.
So, the two equations are not perpendicular.