SOLUTION: Please help me solve this equation: passing through (-3,4) parallel to 4y-3x+9=0

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Question 708266: Please help me solve this equation: passing through (-3,4) parallel to 4y-3x+9=0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First, get the equation into the slope-intercept form
+4y+-+3x+%2B+9+=+0+
+4y+=+3x+-+9+
+y+=+%283%2F4%29%2Ax+-+9%2F4+
The slope of any line parallel to this line
is +3%2F4+
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given the point (-3.4 )
Now set up the general point-slope formula
+%28+y+-+4+%29+%2F+%28+x+-%28-3%29+%29+=+3%2F4+
+%28+y+-+4+%29+%2F+%28+x+%2B+3+%29+=+3%2F4+
+y+-+4+=+%283%2F4%29%2A%28+x+%2B+3+%29+
++4%2A%28+y+-+4+%29+=+3%2A%28+x+%2B+3+%29+
+4y+-+16+=+3x+%2B+9+
+3x+-+4y+=+-25+ ( this is in standard form )
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check:
Does it go through ( -3,4 ) ?
+3x+-+4y+=+-25+
+3%2A%28-3%29+-+4%2A4+=+-25+
+-9+-+16+=+-25+
+-25+=+-25+
OK