Question

A, B, and C are collinear, and B is between A and C. The ratio of AB, B to AC, C is 3:4. If A is at (-8,1) and B is at (-2,-2), what are the coordinates of point C?

PLEASE EXPLAIN // will give brainliest

Answer 1

I found this in my geometry textbook:
basically, start with finding the slope, then continue to add that much of the x and y values to the number to reach your ratio.

Answer 2

Answer:

(6,-6)

Step-by-step explanation:

In order to solve this you just need to use the points given and take the separation between the coordinates and multiply them by the ratio.

Y1 is 1

Y2 is -2

The difference between this is -3, if you inster that on the ratio the answer for point C in Y would be 3:4=-3:-4

Y3 or Yc will be located -4 units away from -2 which is -6.

And now  we do the same for X

X1 is -8

X2 is -6

The difference would be +6 if we insert that on the ratio it would be 3:4=6:8

So the X on c will be located 8 units away from the x on B, -2+8=6, so the X will be located on 6

So the oredered pair of coordenate for C would be (6,-6)