Question

A line is perpendicular to y = 6x +3

and intersects the point (6, 1).
Find the equation for this line.
y-1=-(x-[?])

Answer 1

1

Explanation:

Perpendicuar lines have slopes that are opposite reciprocals: 6 ==> -1/6

y=mx+b

y=-x/6 + b ==> plug in slope -1/6 into slope equation

1 = -6/6 + b ==> plug in x and y values into slope equation

1 = -1 + b

1 + 1 = -1 + 1 + b

b = 2 ==> solve for b

y = -x/6 + 2 ==> plug in the value of b into the equation

y - 1 = -x/6 + 2 - 1

y - 1 = -x/6 + 1

y - 1 = -(x/6-1) ==> answer: 1