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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