Point B is 1/3 of the way from A to C. What are the coordinates of C? A = (-4 , -7)
B = (12 , 5)

C=(44,29).

Step-by-step explanation:

The given points are A = (-4 , -7)  and B = (12 , 5).

It is given that Point B is 1/3 of the way from A to C.

AB:AC=1:3

AB:BC=AB:(AC-AB)=1:(3-1)=1:2

It means point B divides the line segment AC in 1:2.

Let coordinates of C are (a,b).

Section formula: If a point divides a line segment in m:n, then

Using section formula, we get

On comparing both sides, we get

Therefore, the coordinates of C are (44,29).

2

step-by-step explanation:

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation: