Trying to find the equation (3,9) that is parallel to 2x 3y=16

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Need help with the problem noted above equation (3,9) that is parallel to 2x+3y=16

Sep 12th, 2015

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First solve for y

2x+3y=16  (subtract by 2x to both sides)

3y=-2x+16 (divide by )


Thus we know the slope is m=-2/3x

Since parallel lines share the same slope, we know that m=-2/3x for the other line.

Now we can use point slope formula with the point (3,9)

Point-slope form



Put in standard form

y-9=-2/3x-2 (add nine to both sides)


Thus the parallel line equation is


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Sep 12th, 2015

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