What is the slope equation of the line that that is perpendicular to y = 2x + 6

Answer 1

Perpendicular lines have special relationship between slopes:

(knowing that in an equation y=mx+b, m is the slope)

If one line's equation is, let's say, y=m₁x+b,

then it's perpendicular line is going to have slope m₂=-1/m₁

Which means, our m₁=2, and then the m₂ has to be -1/2.

Just rewrite the given equation, but with slope m₂, and that's the solution:

y=-1/2x+6