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Question 446345: Write an equationof the line containing the given point and parallel to the given line.
(7,-8), 9x-4y=7
The equation of the line is y=?
type answer in the form y=mx+b using integers are fractions
Found 2 solutions by MathLover1, lwsshak3:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! (7,-8),
 ...this line has a slope  ...same slope will have a line parallel to this line, so
 ...we need to find 
| Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line |
Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of  which is also ).
Also since the unknown line goes through (7,-8), we can find the equation by plugging in this info into the point-slope formula
Point-Slope Formula:
 where m is the slope and ( , ) is the given point
 Plug in  ,  , and 
 Distribute
 Multiply
 Subtract  from both sides to isolate y
 Combine like terms
So the equation of the line that is parallel to and goes through ( ,) is
So here are the graphs of the equations and
 graph of the given equation (red) and graph of the line (green) that is parallel to the given graph and goes through (,)
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Answer by lwsshak3(11628)  (Show Source):
You can put this solution on YOUR website! Write an equationof the line containing the given point and parallel to the given line.
(7,-8), 9x-4y=7
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Standard form for a straight line: y=mx+b, with m=slope and b=y-intercept
9x-4y=7
4y=9x-7
y=9/4x-7/4 (slope=9/4)
An equation of a line parallel to this line would have the same slope
y=9/4x+b
To find b, plug in x and y from given point (7,-8), then solve for b.
-8=9/4(7)+b
b=-8-63/4=-32/4-63/4=-95/4
equation:
y=9/4x-95/4
See graphs of the two lines below:
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