write an equation of the line perpendicular to the given line that contains D(6,2) y=-3x+5

Answer 1

We can do this 2 ways. Remember that perpendicular lines have opposite, reciprocal slopes.

1. Use the point-slope formula.

y - y₁ = m(x - x₁)

y - 2 =(1/3)(x - 6)

y - 2 = (1/3)x - 2

y = (1/3)x

2. Plug in our point and solve for b.

y = mx + b

2 = (1/3)(6) + b

2 = 2 + b

b = 0

y = (1/3)x

Note, doing it the first way gives us a y-intercept of 0 because it's just not there. Doing it the 2nd way also gives us a y-intercept of 0, but we don't write "+ 0" because mathematicians are lazy.