Given that a ( 5, 4), b(-3, -2 ) and c(1, -8) are the vertices of a triangle abc,
find the slope of altitude bm

The slope of the altitude BM is

Solution:

Given that A(5,4), B(-3,-2) and C(1,-8) are the vertices of a triangle ABC . We have to find the slope of altitude BM

The figure of the given question is given below. Here M is the mid-point of side AC.

To find the slope of altitude BM, we need to first find the slope of AC.

The slope of AC is given by

 ---- eqn 1

Given that points of A(5,4) and C(1,-8)

Here we get

Now substituting the values in eqn (1), we get

= 3

The slope of the Altitude BM is given by the reciprocal of the slope of AC since M is the midpoint of AC.

Slope of BM =

Thus the slope of the altitude BM is

283 square feet

step-by-step explanation:

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