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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?
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Jan 11, 2021
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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?
Mathematics
middle-school
Jake Nelson
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Jake Nelson
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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.
MoLowKey
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Jan 18, 2021
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MoLowKey
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