Question

Choose the slope-intercept equation of the line that passes through the point (6, 2) and is perpendicular to y = 3x + 6.

A y =1 over 3 x
B y = –1 over 3x + 4
C y = 3x + 20
D y = –3x – 16

Answer 1

If it is perpendicular to y = 3x + 6, whose slope is positive 3, then the slope of the answer should be the negative reciprocal, -1/3.

plus the given coordinates (6, 2) and the slope of -1/3 into the following equation below

y - (y-coordinate) = m ( x - (x-coordinate) )

where m is the slope -1/3.

distribute m, then solve for y to get

y = (-1/3)x + 4

for some reason, none of those answers work out, unless B) says "(3x over -1) + 4