SOLUTION: It says: determine the equation of the line that is perpendicular to y=-4/3x-9 and has the same x-intercept as 3x-5y=-6

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Question 1065150: It says: determine the equation of the line that is perpendicular to y=-4/3x-9 and has the same x-intercept as 3x-5y=-6
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!


The slope of the perpendicular line is:



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The general form of the required line is:


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The x-intercept of
is where , so



So, you are given the point ( -2, 0 )
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The equation of the line is:

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check:
Does it go through ( -2,0 ) ?



OK

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
determine the equation of the line that is perpendicular to y=-4/3x-9 and has the same x-intercept as 3x-5y=-6
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Find the slope of the line y=-4/3x-9
Call it m1.
---
The slope of lines perpendicular have a slope of -1/m1
Call that m2
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Find the y-intercept of 3x-5y=-6
Call it b
--------
Use y = m2*x + b

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