SOLUTION: Find the line through the point (1,4) and perpendicular to y = 3x-2. Write the equation in slope-intercept form.

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find the line through the point (1,4) and perpendicular to y = 3x-2. Write the equation in slope-intercept form.      Log On


   

Question 913381: Find the line through the point (1,4) and perpendicular to y = 3x-2.
Write the equation in slope-intercept form.
Found 2 solutions by josgarithmetic, Fombitz:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular line slopes are negative reciprocals.
m%2A%283%29=-1
m=-1%2F3
Use the point-slope form,
y-4=-%281%2F3%29%28x-1%29
y-4=-%281%2F3%29x%2B1%2F3
y=-%281%2F3%29x%2B1%2F3%2B12%2F3
y=-%281%2F3%29x%2B13%2F3