SOLUTION: Please help me find an equation of the straight line that passes through the point (2,3) and is parallel to the line with equation 3x+4y-8=0

Algebra ->  Linear-equations -> SOLUTION: Please help me find an equation of the straight line that passes through the point (2,3) and is parallel to the line with equation 3x+4y-8=0      Log On


   



Question 1123598: Please help me find an equation of the straight line that passes through the point (2,3) and is parallel to the line with equation 3x+4y-8=0
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Calculate the slope of the given line by taking the additive inverse of the quotient of the coefficient on divided by the coefficient on .

Use the slope of the given line and the coordinates of the given point to derive the desired equation using the Point-Slope form of an equation of a line:



Where is the calculated slope and are the coordinates of the given point.


John

My calculator said it, I believe it, that settles it


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
*****
straight line that passes through the point (p,v) and is parallel to the line with equation Ax+By+C=0
*****


The part of expression Ax%2BBy stays the same.
Only C changes, according to the point that the line must include.

highlight_green%28Ax%2BBy-%28px%2Bvy%29=0%29.
Use this for your example.

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3x%2B4y=8
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3x%2B4y=3%2A2%2B4%2A3
3x%2B4y=6%2B12
3x%2B4y-18=0