Question

Really help with this math problem, please help me!

1. Write an equation of the line that is perpendicular to the line y = 1/2x + 8 that passes through the point (4,6).

A) y = 1/2x + 14
B) y = -2x + 14
C) y = -1/2x + 14
D) y = 2x - 2

Answer 1

Hello:
the equation is : y = ax+b
the slope is a : a×(1/2) = -1......( perpendicular to a line with a slope of 1/2)
a = -2       y=-2x+b
the line that passes through (4, 6) : 6= -2(4)+b
b = 14
 the equation is :  y  = -2x+14