Question

Are the lines parallel, perpendicular, or neither?

5x + 2y = 10
15x + 4y = -4

Answer 1

5x+2y=10, 2y=-5x+10, y=-2.5x+5

15x+4y=-4, 4y=-15x-4, y=-3.75x-1

-2.5 != -3.75

And -2.5m=-1, m=0.4, 0.4 !=-3.75

So the slopes are not equal and they are also not negative reciprocals of one another.

Thus the lines are neither parallel nor perpendicular.