SOLUTION: I need help solving an equation of a line that passes through the point (-4,-1) and is parallel to 7x-4y=5

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Question 1050105: I need help solving an equation of a line that passes through the point (-4,-1) and is parallel to 7x-4y=5
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+7x+-+4y+=+5+
Get it into the slope-intercept form
+4y+=+7x+-+5+
+y+=+%287%2F4%29%2Ax+-+5%2F4+
This is in the form +y+=+m%2Ax+%2B+b+, where
+m+ = slope
+b+ = y-intercept
--------------------
+m+=+7%2F4+
Any line parallel to the given line will also
have slope = +7%2F4+
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The line passes through ( -4, -1 )
Use the general point-slope formula:
+%28+y+-%28-1%29+%29+%2F+%28+x+-%28-4%29+%29+=+7%2F4+
+%28+y+%2B+1+%29+%2F+%28+x+%2B+4+%29+=+7%2F4+
Multiply both sides by +4%2A%28+x%2B4+%29+
+4%2A%28+y+%2B+1+%29+=+7%2A%28+x+%2B+4+%29+
+4y+%2B+4+=+7x+%2B+28+
+4y+=+7x+%2B+24+
+y+=+%287%2F4%29%2Ax+%2B+6+ answer
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check:
Does this line go through ( -4, -1 ) ?
+-1+=+%287%2F4%29%2A%28-4%29+%2B+6+
+-1+=+-7+%2B+6+
+-1+=+-1+
OK