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Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

1 Answer

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Answer:

The answer is

5y - 12x = - 9

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

12x - 5y = 2

5y = 12x - 2

Divide both sides by 5

y = 12/5x - 1/5

Comparing with the above formula

Slope / m = 12/5

Since the lines are parallel their slope are also the same.

Slope the parallel line = 12/5

Equation of the line using point (2,3) is


y - 3 = (12)/(5) (x - 2)

Multiply through by 5

That's

5y - 15 = 12(x - 2)

5y - 15 = 12x - 24

We have the final answer as

5y - 12x = - 9

Hope this helps you

User Mrwalker
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