SOLUTION: The vertices of a triangle are A(16, 0), B(9, 2), and C(0, 0). What are the slopes of its sides? What are the slopes of its altitudes? Even if you don't have time to actually s

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Question 308616: The vertices of a triangle are A(16, 0), B(9, 2), and C(0, 0). What are the slopes of its sides? What are the slopes of its altitudes?
Even if you don't have time to actually solve this for me, I'd really appreciate any input on how to solve these kinds of problems. Thank you so much and have a great day!
Answer by vksarvepalli(154) (Show Source):
You can put this solution on YOUR website!
when you have two points (x1,y1) and (x2,y2) the slope of the line passing through these points is given by

so now i think you can find the slope of the sides.
****the product of slopes of two perpendicular lines is -1.********
so now you can also find the slopes of the altitude.
i will do one side for you and you do the remaining
the slope of side BC is (2-0)/(9-0) = 2/9
so the slope of the altitude passing through A will be -9/2
since the product of their slopes should be -1
2/9 * -9/2 = -1