Respuesta :
Using proportions, it is found that the coordinates of Q are given as follows: (3.5, 1.25).
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Since the point Q partitions the segment AC in a 3:1 ratio, we have that the equation is:
[tex]Q - A = \frac{3}{4}(C - A)[/tex]
For the x-coordinate, we have that:
[tex]Q - A = \frac{3}{4}(C - A)[/tex]
[tex]x - 2 = \frac{3}{4}(4 - 2)[/tex]
[tex]x - 2 = \frac{3}{2}[/tex]
x = 3.5
For the y-coordinate, we have that:
[tex]Q - A = \frac{3}{4}(C - A)[/tex]
[tex]y + 1 = \frac{3}{4}(2 - (-1))[/tex]
[tex]y + 1 = \frac{9}{4}[/tex]
y = 1.25.
The coordinates of Q are given as follows: (3.5, 1.25).
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
