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Are the graphs of the lines in the pair parallel Explain y=2/3x-17 4x-6y=-6

A. No since the y-intercepts are different
B. Yes since the slopes are the same and the y-intercepts are different
C. No since the slopes are different
D. Yes since the slopes are the same and the y-intercepts are the same

1 answer

C. No since the slopes are different

The slope of the first line y = (2/3)x - 17 is 2/3, and the slope of the second line 4x - 6y = -6 can be rearranged in slope-intercept form to y = (2/3)x + 1, which has a slope of 2/3. Since the slopes are different, the lines are not parallel.
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