SOLUTION: Find the x-intercepts and y-intercepts of the line that passes through the point (3,-5) and is perpendicular to the line x -3y =-2

Algebra ->  Test -> SOLUTION: Find the x-intercepts and y-intercepts of the line that passes through the point (3,-5) and is perpendicular to the line x -3y =-2      Log On


   



Question 329490: Find the x-intercepts and y-intercepts of the line that passes through the point (3,-5) and is perpendicular to the line x -3y =-2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x-3y=-2
-3y=-x-2
y=%28x%2B2%29%2F3
Perpendicular lines have negative reciprocal slopes,
m1%2Am2=-1
%281%2F3%29%2Am2=-1
m2=-3
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.
.y=-3x%2Bb}
Use the point (3,-5) to solve for b.
-5=-3%283%29%2Bb
b=4
highlight%28y=-3x%2B4%29
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.
x-intercept:-3x%2B4=0
3x=4
x=4%2F3
(4/3,0)
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.
y-intercept:y=4
(0,4)
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