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08-08-2018
Mathematics

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Write an equation in point-slope form of the line that contains (-2,2) and parallel to 3x - 2y = 5.

Respuesta :

08-08-2018

Rearrange 3x - 2y = 5 into y = mx + c form:
2y + 5 = 3x
2y = 3x - 5
y = 1.5x - 2.5

The lines must have the same gradient to be parallel and it goes through (-2,2) so you use y - y1 = m(x - x1):
y - 2 = 1.5(x - (-2))
y - 2 = 1.5x + 3
Answer: y = 1.5x + 5

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