SOLUTION: Write the equation of the line that contains the point (8, –3) and is perpendicular to 4x-3y=10

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Question 1118390: Write the equation of the line that contains the point (8, –3) and is perpendicular to 4x-3y=10
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+4x+-+3y+=+10+
+3y+=+4x+-+10+
+y+=+%284%2F3%29%2Ax+-+10%2F3+
If the slope of this line is +m%5B1%5D+=+4%2F3+,
then any line perpendicular to it has
slope m%5B2%5D+=+-1%2Fm%5B1%5D+=+-3%2F4+
----------------------------
The unknown line looks like:
+y+=+m%5B2%5D%2Ax+%2B+b+
Plug in the point ( 8, -3 )
+-3+=+%28+-3%2F4+%29%2A8+%2B+b+
+-3+=+-6+%2B+b+
+b+=+3+
----------------------------
The equation of the unknown line is:
+y+=+%28-3%2F4%29%2Ax+%2B+3+
------------------------------------
check:
Plug in ( 8, -3 )
+-3+=+%28-3%2F4%29%2A8+%2B+3+
+-3+=+-6+%2B+3+
+-3+=+-3+
OK