When graphed, will the line x - 2y = 6 be
parallel, perpendicular or neither to a line that
passes through the points (5,2) and (3,6)?

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Answer:

Step-by-step explanation:

Slope of x-2y=6 is ½.

Slope of line through (5,2) and (3,6) = (6-2)/(3-5) = -2

The two slopes are negative reciprocals of each other (i.e., their product is -1), so the two lines are perpendicular.