Question

Are lines y = 4x and 4 - 2y = -2x parallel, perpendicular,or neither?

Answer 1

First line equation is y = 4x

Slope of the line say m1 = 4

Second line is 4-2y = -2x

Subtract 4 from each side.

4-4-2y = -2x-4

-2y = -2x-4

Divide by negitive 2 to each side.

-2y/-2 = (-2x-4)/-2

y = -2x/-2+4/2

y = x+2

Slope of the second line is say m2 = 1

Slopes of two lines are not equal, so they are not parallel lines.

m1*m2 = 4*1

m1*m2 = 4

m1*m2 is not equal to -1, so they are not perpendicular lines.