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

Algebra ->  Linear-equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+-%284%2F3%29%2Ax+-+9+
+m+=+-4%2F3+
The slope of the perpendicular line is:
+m%5B1%5D+=+-1%2Fm+
+m%5B1%5D+=+-1%2F%28-4%2F3%29+
+m%5B1%5D+=+3%2F4+
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The general form of the required line is:
+y+=+m%5B1%5D%2Ax+%2B+b+
+y+=+%283%2F4%29%2Ax+%2B+b+
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The x-intercept of +3x+-+5y+=+-6+
is where +y+=+0+, so
+3x+-+5%2A0++=+-6+
+3x+=+-6+
+x+=+-2+
So, you are given the point ( -2, 0 )
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+y+=+%283%2F4%29%2Ax+%2B+b+
+0+=+%283%2F4%29%2A%28-2%29+%2B+b+
+0+=+-3%2F2+%2B+b+
+b+=+3%2F2+
------------------------
The equation of the line is:
+y+=+%283%2F4%29%2Ax+%2B+3%2F2+
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check:
Does it go through ( -2,0 ) ?
+0+=+%283%2F4%29%2A%28-2%29+%2B+3%2F2+
+0+=+-3%2F2+%2B+3%2F2+
+0+=+0+
OK

Answer by Alan3354(69443) About Me  (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.
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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
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Use y = m2*x + b