Question

The coordinates of the endpoints of AB are A(3,6) and B(7,-10). Point C is onAB and divides it such that AC:BC is 1:3. What are the coordinates of C?PLEASE HELP

Answer 1

We can use the segment formula to solve this. The formula is:

Where m and n are in the ratio.

x_1, x_2, y_1, and y_2 are the respective coordinates.

Given m = 1 and n = 3

A(3,6)

B(7,-10)

Now, we plug it into formula and get out coordinates of C:

`\begin{gathered} (x,y)=((1(6)+3(3))/(1+3),(1(-10)+3(7))/(1+3)) \\ =((6+9)/(4),(-10+21)/(4)) \\ =((15)/(4),(11)/(4)) \end{gathered}`

The Coordinates of C are:

`C=((15)/(4),(11)/(4))`