Question

Good evening. I have a math problem that I need if someone can please check to see if I have correct and I will post each one separate.

Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then plot E
C=(1, 6)
D=(-3, -4)
I used the partitioning segment equation and I worked it out below:
1 + 3/4 (-3 - 1)
1 + 3/4 (-4)
1 + -12/4
1 + -3=-2
X=-2

6 + 3/4 (-4 - 6)
6 3/4 (-10)
6 + -30/4
6/1 + -15/2 = 12/2 + -15/2=-3/2
Y= -1.5

Are these the correct answers?

Answer 1

looks good

Answer 2

Hello. I truly appreciate you checking this. I am a bit new to Geometry so trying to find my answers and work them out and then post.

Thank you