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11 votes
11 votes
Find the equation of the line parallel to to -2x + 3y = 11 and passes through the points (3, -2)

User Chucklukowski
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1 Answer

15 votes
15 votes

Answer:

2x -3y = 12

Explanation:

The parallel line will have the same variable coefficients, but a different constant appropriate to the given point. Using that point, we find the constant to be ...

-2x +3y = constant

-2(3) +3(-2) = -6 -6 = -12

The equation can be written ...

-2x +3y = -12

We prefer the "standard form", which has a positive leading coefficient. To get that, we can multiply the equation by -1.

2x -3y = 12

Find the equation of the line parallel to to -2x + 3y = 11 and passes through the-example-1
User Jafar Ali
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2.8k points