I really need help with this question. I have attached two screenshots, the first is the question and the second one is the options that I have as the answer. I would really appreciate an answer!!!

I really need help with this question I have attached two screenshots the first is the question and the second one is the options that I have as the answer I wo class=
I really need help with this question I have attached two screenshots the first is the question and the second one is the options that I have as the answer I wo class=

Respuesta :

Using proportions, it is found that the coordinates of point B are given as follows:

A. (1.6, 0).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point B is 3/4 of the way from AB to AC, hence:

[tex]B - A = \frac{3}{4}(C - A)[/tex]

The points are:

  • A(-2,-3).
  • B(x,y).
  • C(3,1).


Then, to find the x-coordinate:

[tex]x + 2 = \frac{3}{4}(3 + 2)[/tex]

x + 2 = 3.6.

x = 1.6.

For the y-coordinate:

[tex]y + 3 = \frac{3}{4}(1 + 3)[/tex]

y + 3 = 3

y = 0.

Hence option A is correct.

More can be learned about proportions at https://brainly.com/question/24372153

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