Two lines are perpendicular and intersect at the point (3, 2). If one line has the equation y = 2x, what is the equation of the other line?
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Correct answer: B
Explanation
y = 2x
slope = 2
Product of slope of two perpendicular lines = −1
Slope of second line = m
2 × m = −1
m = −1/2
Passes through the point (3,2) -
y − 2 = −1/2(x − 3)
y − 2 = −1/2x + 3/2
y = −1/2x + 7/2