Is the line through points p(-3,-2) and Q(2,3) perpendicular to the line through points R(10,1) and S(15,-6)?

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01-02-2017
Mathematics

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Is the line through points p(-3,-2) and Q(2,3) perpendicular to the line through points R(10,1) and S(15,-6)?

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crisforp crisforp · Answer 1 · 2017-02-01T07:11:09+01:00

crisforp crisforp

01-02-2017

The slope of line PQ is m1 = ( 3 - (-3) ) / (2 - (-2) ); then m1 = 6/4 = 3/2;
In the same way, the slope of line RS is m2 = -7/5;
But (3/2) x (-7/5) = -21/10, which is diferrent from - 1;
So, the lines aren't perpendicular.

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