SOLUTION: Find the equation of a line that is parallel to 2x + 6y = 5 and that goes through the point (2,1).

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Question 828829: Find the equation of a line that is parallel to 2x + 6y = 5 and that goes through the point (2,1).

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
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given:
line parallel to: 2x + 6y = 5
through point: (2,1)
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slope:
6y = -2x + 5
y = -(1/3)x + 5/6
slope = -(1/3)
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to solve the linear equation, copy and paste this (the given point and parallel slope):
2, 1, -0.333333
into the "Point-Slope form: x1 y1 m" input box here: https://sooeet.com/math/linear-equation-solver.php
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x-intercept = (5, 0)
y-intercept = (0, 1.666666)
slope = -0.333333
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answer:
the slope-intercept form of our new line:
y = -0.333333x + 1.666666
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
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:
https://sooeet.com/math/system-of-linear-equations-solver.php

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