Question

two perpendicular lines intersect at the orgin. if the slope of the first line is -1/2, what is the equation of the second line?

Answer 1

Well the origin is (0,0)

And we know perpendicular lines have negative reciprocal slopes.

Answer 2

To find a negative reciprocal slope:

-1/slope

So here the slope is

-1/-1/2

We use this rule:

So the slope of the line perpendicular to this one is 2