SOLUTION: Find the equation of the line perpendicular to y = 3x + 1 that passes through the point (9, -5). Give your answer in the form ax + by + c = 0

Algebra ->  Graphs -> SOLUTION: Find the equation of the line perpendicular to y = 3x + 1 that passes through the point (9, -5). Give your answer in the form ax + by + c = 0      Log On


   



Question 1180493: Find the equation of the line perpendicular to y = 3x + 1 that passes through the point (9, -5). Give your answer in the form ax + by + c = 0
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line perpendicular to y = 3x + 1 that passes through the point (9, -5).
Perpendicular slope formula: m1*m2 = -1
m1 = 3 in our equation, find m2, the slope of the perpendicular line
3m2 = - 1
m2 = -1/3
m2 = -1/3 is the slope of the perpendicular line
let the points be
x1 = 9, y1 = -5, use point/slope equation y - y1 = m(x-x1)
y - (-5) = -1%2F3(x - 9)
y + 5 = -1%2F3x + 3
y = -1%2F3x + 3 - 5
y = -1%2F3x - 2, is the equation
Give your answer in the form ax + by + c = 0
We would like everything to be a positive integer, mult above by -3
-3y = x + 6
arrange it then as
x + 3y + 6 = 0 is this form
:
:
you can check this by replacing x with 9 and y with -5, see if equality reigns!

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Slope will need to be -1%2F3.

Using point-slope equation form, you want y%2B5=-%281%2F3%29%28x-9%29.

Simple algebra:
-3y-15=x-9
-15%2B9=x%2B3y
x%2B3y=-6
highlight%28x%2B3y%2B6=0%29