Question

What is the equation of the line that contains the point (6, -1) and is perpendicular to line whose equation is y = 2x + 1?

Answer 1

Perpendicular = opposite sign and reciprocal slope
2 slope turns into -1/2
Y = -1/2x + b
Plug in point
-1 = -1/2(6) + b
-1 = -3 + b, b = 2
Solution: y = -1/2x + 2