Determine if lines AB and CD are parallel, perpendicular, or neither.
Line AB formed by (3, 7) and (-6, 1)
Line CD formed by (-6, -5) and (0, -1)
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1 point
Parallel
Perpendicular
Neither
To determine if two lines are parallel, perpendicular, or neither, we can look at their slopes. If the slopes are the same, the lines are parallel. If the slopes are negative reciprocals of each other, the lines are perpendicular. If the slopes are neither the same nor negative reciprocals, the lines are neither parallel nor perpendicular.
The slope of line AB can be found using the formula: slope = (change in y)/(change in x).
Slope of line AB = (1-7)/(-6-3) = (-6)/(-9) = 2/3
The slope of line CD can also be found using the same formula:
Slope of line CD = (-1-(-5))/(0-(-6)) = 4/6 = 2/3
Since the slopes of line AB and line CD are the same, the lines are parallel.