SOLUTION: Please help me with this problem. Find the equation of the line parallel to 4x+5y=7 and passing through (3,2). Leave the answer in y=mx+b.

Algebra ->  Linear-equations -> SOLUTION: Please help me with this problem. Find the equation of the line parallel to 4x+5y=7 and passing through (3,2). Leave the answer in y=mx+b.      Log On


   



Question 820736: Please help me with this problem.
Find the equation of the line parallel to 4x+5y=7 and passing through (3,2). Leave the answer in y=mx+b.

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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find the slope of: 4x + 5y = 7
5y = -4x + 7
y = (-4/5)x + 7/5
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slope = (-4/5) = -0.8
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parallel lines have equal slope:
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copy and paste this (the given point and the slope of the parallel line):
3, 2, -0.8
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into the "Point-Slope form: x1 y1 m" input box of this solver:
https://sooeet.com/math/linear-equation-solver.php
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get the slope and the y-intercept of the parallel line from the solver:
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slope of parallel line = -0.8 = (-4/5)
y-intercept of parallel line = 4.4
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answer:
write the equation of the parallel line in slope-intercept form:
y = (-4/5)x + 4.4
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https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
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