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. -1/2ma = mb
- D. ma-1=mb
- E. ma - mb = 0
Explanation
The correct answer is a. Perpendicular lines intersect to form right angles, and their slopes are negative reciprocals of each other. In this case, if the slope of line a is ma, the slope of line b is -1/ma. Since the slope of line b is mb, we have mb = -1/ma, which simplifies to ma = -1/mb. The other options do not reflect the relationship between slopes of perpendicular lines, making them incorrect.
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