can you help me with math please.

Question

Use slopes to show that
A(−2, −1), B(4, 3), and C(−8, 8) are vertices of a right triangle.

We first plot the points to determine the sides. Next, find the slopes of the three sides. We find that the slope of AB is
2/3, the slope of AC is  -3/2, and the slope of BC is -5/12

. Two lines are perpendicular to one another when the product of their slopes is equal to ----------

Answer 1

Perpendicular slopes means that their product is -1.

 

We can multiply any two slopes and see if any lines are perpendicular.

 

(2/3) * (5/12) = 10/30 = 1/3

 

(-3/2) * (5/12) = -15/24 = -5/8

 

(-3/2) * (2/3) = -6/6 = -1

 

Lines AB and AC are perpendicular, so the triangle ABC is a right triangle.