Question

Is y equals 2x plus 4 and 2y equals -4x plus 10 perpendicular or parallel

 

Answer 1

Standerd form of line y = mx+b

Here m is slope and b is y intercept.

Given y  = 2x+4 and 2y  = -4x+10

First line slope say m1 =2

Second line 2y = -4x+10

Divide by 2 to each side.

2y/2 = (-4x+10)/2

y =-4x/2+10/2

y = -2x+5

slope say m2 = -2

m1 not equals to m2, so the lines are not parallel lines.

m1m2 = 2*-2= -4

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