Question

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

Answer 1

Answer:

The answer is d

Step-by-step explanation:

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