Given the graph below in the standard (x,y) coordinate plane, the slope of line a is ma and the slope of line b is mb. Which of the following statements about the slope of lines a and b is true?
Correct answer: A. ma= - 1/ mb
- A. ma= - 1/ mb
- B. ma+mb=0
- C. -I/2ma = mb
- D. ma-1=mb
- E. ma - mb = 0
Explanation
The correct answer is a. Based on the figure, line a and line b are perpendicular lines, because they intersect to form right angles. Perpendicular lines have slopes that are negative reciprocals. In other words, if the slope of line a is ma , the slope of line b is −1/mα. You are given that the slope of line b is mb , so mb = −1/mα. This is equivalent to mα = −1/mb
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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