Line m passes through points (3, 15) and (10,9). Line n passes through points (2,9) and (9,3). Are line m and line n parallel perpendicular?

Given:

Line m passes through points (3, 15) and (10,9).

Line n passes through points (2,9) and (9,3).

To find:

Whether the line m and line n are parallel or perpendicular?

Solution:

Slope formula:

Line m passes through points (3, 15) and (10,9). Using the slope formula, the slope of line m is

Line n passes through points (2, 9) and (9,3). Using the slope formula, the slope of line m is

Since , therefore, the lines m and n are parallel because the slope of parallel lines are equal.

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step-by-step explanation:

the line of