Parallel lines with different slopes

label Algebra
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write the equation of a line parallel to line 4x-6y=1 that intersects the function 3x-2y=12 at its x-intercept

Aug 4th, 2015

Thank you for the opportunity to help you with your question!

Parallel lines have the same slope. The slope is the gradient which is m. in the form y=mx+b

5x-6y=1

-6y=-5x+1

6y=5x-1

y=5/6x-1/6

so slope =5/6.

The two lines meet at the x intercept of 3x-2y=12

2y=3x-12

y=3/2x-6 so coordinates at x=0 is y=-6

Gradient= change in y divided by change in x

so equation of our line (y+6)/(x-0)= 5/6

6y+36=5x-0

6y=5x-36

y=5/6x-6

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 4th, 2015

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Aug 4th, 2015
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