Question

Which TWO linear equations represent perpendicular lines?

y = ½x + 4

x - 3y = -8

y = -2x - 3

y = 2x - 4

Answer 1

Explanation:

`y = (1)/(2) x + 4`

and,

`y = - 2x - 3`

represents perpendicular lines.

Two lines are perpendicular when product of their slopes = -1

In, y =½x+4

m1 = ½

In y = -2x -3

m2 = -2

Now, m1× m2 = ½× (-2) = -1