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In the figure below, line q in the standard (x,y)coordinate plane has equation -2x + y- 1 andintersects line r, which is distinct from line q, at apoint on the x-axis. The angles, La and Lb, formed bythese lines and the x-axis are congruent. What is theslope of line r?2LaG. _1H. 1J. 2K. Cannot be determined from the given information22 -1 |
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Answer» First, turn our given equation for line q into proper slope-intercept form. −2x+y=1 y=2x+1 Now, we are told that the angles the lines form are congruent. This means that the slopes of the lines will be opposites of one another [Note: perpendicular lines have opposite reciprocal slopes, so do NOT get these concepts confused!]. Since we have already established that the slope of line q is 2, line r must have a slope of -2. Our final answer is F, -2 |
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