Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.

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(1) Answers

Winkey180

3x - 2y = 5
2y = 3x - 5
y = (3/2) x - 5/2
so the gradient (m) of the required line = -1 / (3/2) = -2/3
using the general form
y - y1 = m(x - x1) , m = -2/3 , x1 = -2 and y1 = 1
y - 1 = -(2/3) ( x - (-2))
y = -(2/3)x - 4/3 + 1
y = -(2/3)x - 1/3
multiply through by 3
3y = - 2x - 1
in standard form its
2x + 3y = -1