Write and equation in slope intercept form for the line that passes through ( - 3,2 ) and is perpendicular to line y = 3 / 2x + 4

Question

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Answer 1

The product of slopes of perpendicular lines is -1, so the slope of the perpendicular line is

m = -1/(3/2) = -2/3

y = (-2/3)x + b

2 = (-2/3)(-3) + b

2 = 2 + b

b = 0

y = (-2/3)x