SOLUTION: Two lines are perpindicular if either the product of their slope is -1 or one line is vertical and the other is horizontal. Write an equation of the line perpindicular to the line

Algebra ->  Linear-equations -> SOLUTION: Two lines are perpindicular if either the product of their slope is -1 or one line is vertical and the other is horizontal. Write an equation of the line perpindicular to the line       Log On


   

Question 1016165: Two lines are perpindicular if either the product of their slope is -1 or one line is vertical and the other is horizontal. Write an equation of the line perpindicular to the line given by 2x-3y=1 and having the same y-intercept as the line given by 3x+2y=6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two lines are perpendicular if either the product of their slope is -1 or one line is vertical and the other is horizontal.
Write an equation of the line perpindicular to the line given by 2x-3y=1 and having the same y-intercept as the line given by 3x+2y=6
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Write both in the slope-intercept form::
y = (2/3)x -(1/3)
y = -(3/2)x + 3
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y-intercept of interest:: 3
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slope of interest:: (2/3)k = -1, k = -3/2
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Ans:: The lower equation is y = (-3/2)x + 3 it is
perpendicular to y = (2/3)x-(1/3) and it intercepts
the y-axis at 3.
Cheers,
Stan H.