SOLUTION: What is the equation in standard form of a perpendicular line that passes through (5,1)? y+4=-4(x-2)

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: What is the equation in standard form of a perpendicular line that passes through (5,1)? y+4=-4(x-2)       Log On


   

Question 843369: What is the equation in standard form of a perpendicular line that passes through (5,1)?
y+4=-4(x-2)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A line perpendicular to the given line has a slope that has the following relationship,
-4%2Am=-1
m=1%2F4
.
.
y=-%281%2F4%29x%2Bb
Use the point to solve for b
1=-%281%2F4%295%2Bb
b=1%2B5%2F4
b=9%2F4
.
.
y=-%281%2F4%29x%2B5%2F4
4y=-x%2B5
x%2B4y=5