SOLUTION: Write the standard form of the equation of the line described. Please show work. 7) through: (3, 4), perpendicular to y = - (3)/(7) x + 4

Algebra ->  Linear-equations -> SOLUTION: Write the standard form of the equation of the line described. Please show work. 7) through: (3, 4), perpendicular to y = - (3)/(7) x + 4      Log On


   

Question 1009731: Write the standard form of the equation of the line described. Please show work.
7) through: (3, 4), perpendicular to y = - (3)/(7) x + 4
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of +y+=+%28+-3%2F7+%29%2Ax+%2B+4+
is +m+=+-3%2F7+
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Any line perpendicular to this line has
slope
+m%5B1%5D+=+-1%2Fm+
+m%5B1%5D+=+-%28-7%2F3%29+
+m%5B1%5D+=+7%2F3+
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Given the point ( 3,4 )
Use the general point-slope formula
+%28+y+-+4+%29+%2F+%28+x+-+3+%29+=+7%2F3+
+y+-+4+=+%287%2F3%29%2A%28+x+-+3+%29+
+3y+-+12+=+7x+-+21+
+3y+=+7x+-+9+
+7x+-+3y+=+9+
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check:
does it go through ( 3,4 ) ?
+7x+-+3y+=+9+
+7%2A3+-+3%2A4+=+9+
+21+-+12+=+9+
+21+=+21+
OK