SOLUTION: Hello, I have a question on finding the slope of a line that is perpendicular to the line y=4/9x-12 Thank you so much for the help. -Kaitlin

Algebra ->  Linear-equations -> SOLUTION: Hello, I have a question on finding the slope of a line that is perpendicular to the line y=4/9x-12 Thank you so much for the help. -Kaitlin       Log On


   



Question 484889: Hello, I have a question on finding the slope of a line that is perpendicular to the line y=4/9x-12
Thank you so much for the help.
-Kaitlin

Found 2 solutions by nerdybill, MathLover1:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Slope of:
y=4/9x-12
is 4/9
a line perpendicular to this must have a slope that is the "negative reciprocal":
Let m = new slope
then
(4/9)m = -1
4m = -9
m = -9/4
Answer: -9/4

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y=%284%2F9%29x-12..as you can see, this line has a slope m=4%2F9
by definition, perpendicular lines have opposite reciprocal slopes
so, a slope of a line that is perpendicular to the given line will be:
m1=-9%2F4

y=%284%2F9%29x-12
y=-%289%2F4%29x.......this is a line that is perpendicular to the given line
+graph%28+500%2C+500%2C+-10%2C+10%2C+-15%2C+10%2C+%284%2F9%29x-12%2C-%289%2F4%29x%29+