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Arada [10]
2 years ago
11

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

Mathematics
1 answer:
katrin2010 [14]2 years ago
8 0

Answer:

  2x -3y = 12

Step-by-step 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

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