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In the xy-coordinate plane, lines m and n are

perpendicular. If line m contains the points (0,0)
and (3, 1), and line n contains the points (2, 3) and
(1, a), what is the value of a?

1 Answer

1 vote
a = 6

I found the slope of line m using slope formula (y2-y1 / x2-x1).

Line M slope is (1/3).

Perpendicular lines have a negative reciprocal slope. So we know line N slope will be -3.

Use slope formula again for line n with the line n coordinates given, AND equal it to -3 to solve for a.

Check out the pic to see work.

In the xy-coordinate plane, lines m and n are perpendicular. If line m contains the-example-1
User MoLowKey
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