Home » Test Prep » ACT Section 2: Math » Line y = 2/3x – 5 is perpendicular to line:
Line y = 2/3x – 5 is perpendicular to line:
A. y = 2/3x + 5
B. y = 5 – 2/3x
C. y = -2/3x – 5
D. y = 2/3x – 5
E. y = -2/3x + 5
Correct Answer: E
Explanation/Reference:
Explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. The slope of the line given is 2/3. The negative reciprocal of 2/3 is 3/2. Every line with a slope of -3/2 is perpendicular to the given line; y = -3/2x + 5 is perpendicular to y = 2/3x – 5.
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