Given that ΔABC and ΔA'B'C' are similar right triangles that share the same slope, m, on the coordinate plane. Find the equation in the form y = mx that represents the line of the hypotenuses if ΔABC has a base defined by the coordinates of A = (3, 2) and B = (6, 2), and ΔA'B'C' has a height defined by the coordinates of B' = (9, 2) and C' = (9, 6).

A) y = 2x

B) y = 3x

C) y = 1/3x

D) y = 2/3x

Question

Scarlett Holloway

Mathematics

15 November, 14:05

Given that ΔABC and ΔA'B'C' are similar right triangles that share the same slope, m, on the coordinate plane. Find the equation in the form y = mx that represents the line of the hypotenuses if ΔABC has a base defined by the coordinates of A = (3, 2) and B = (6, 2), and ΔA'B'C' has a height defined by the coordinates of B' = (9, 2) and C' = (9, 6).

A) y = 2x

B) y = 3x

C) y = 1/3x

D) y = 2/3x

+5

Answers (2)

Know the Answer?

Sariah Levine · Answer 1

The answer is d

Stephanie Maldonado · Answer 2

Answer:D) y = 2/3x

Step-by-step explanation: Sketching the triangles shows that ΔABC has a coordinate of C = (6, 4)

m =

change in y

change in x

=

4 - 2

6 - 3

=

2

3

therefore, y =

2

3

x