Question

Triangle ABC with endpoints A(-1,4), B(3,1) and C(0,-3) is a right
Using the principles of Slope, please verify this.

Answer 1

Find the slopes of the following segments

AB, BC, and AC

Then multiply each pair of slopes. If you get -1 as a result, then these two line segments will be perpendicular (and form a right angle)

Answer 2

So hypothetically say you get

slope of AB = 2
slope of BC = 3
slope of AC = -1/2

notice how (slope of AB)*(slope of AC) = 2*(-1/2) = -1

So this would show that line segments AB and AC are perpendicular and form a right angle.