Question

Point C is located at (1, 2) and point D is located at (−4, −2). Find the y value of the point that is 1 over 4 the distance from point C to point D.
1

0

1.5

2.25

Answer 1

If we use similar triangles ( as shown in the attachment ) we will see that the line CM is also  1/4 *( yC-yD)= 1/4*(2+2) = 1/4*4 =1
Answer: y-value of that point is A) y=1.

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Answer 2

Hello,

A=middle of [CD] =((1-4)/2,(2-2)/2)=(-3/2,0)
B=middle of [CA]=((1-3/2)/2,(2+0)/2)=(-1/4,1)

Value of y=1

Answer A