Which line is perpendicular to the line -2x + 3y = 12 ?

Question

A. -2x + y = 12

B. y = 2/3 x -1

C. -2x + 3y = 11

D. 3x + 2y = -2

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Answer 1 · 2018-04-08T11:32:55

$color(red)(D. " " 3x + 2y = -2$

Given Equation is $-2x + 3y = 12$

$3y = 2x + 12$

$y = (2/3)y + 12$

Slope of this line is $m = 2/3$

$"Slope of Line A " m_a = 2$

$"Slope of Line B " m_b = 2/3$

$"Slope of Line C " m_c = -(2/3)$

$"Slope of Line D " m_d = -(3/2)$

$"Since " m_d = - 1/ m, D " is perpendicular to the given line"$