SOLUTION: How do you write an equation of a line when given two pionts and a slope, but the other line must be perpendicular.....Example from my homework: Write an equation of a line that

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Question 64038: How do you write an equation of a line when given two pionts and a slope, but the other line must be perpendicular.....Example from my homework:
Write an equation of a line that contains the given point and is perpendicular to the given line
#1. (5,1); y=5x-2
And how would you solve one of these equations when given a graph with a line with a slope on it??
Thank you!

Answer by josmiceli(6781) About Me  (Show Source):
You can put this solution on YOUR website!
If an equation is in the form y+=+mx+%2B+b
any line perpendicular to it must have m = -(1/m)
from the problem,
y+=+5x+-+2
m+=+5
m%5B2%5D+=+-%281%2F5%29
The 2nd line goes through (5,1)
y+=+%28-1%2F5%29x+%2B+b
1+=+%28-1%2F5%29%2A5+%2B+b
1+=+-1+%2B+b
b+=+2
so, ther equation of the 2nd line is
y+=+-%281%2F5%29x+%2B+2