Question

Find point P that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5). P = Answer Round your answer to the nearest tenth. Write your answer as a point using parenthesis and a comma (__,__). Do not use any spaces.

Answer 1

To solve this problem you must apply the proccedure shown below:

1. By definition, if the point
`P` divides
`AB` into a ratio a:b, this point is
`(a)/(a+b)` of the distance of the segment. Therefore, this is:

`(a)/(a+b) =(2)/(2+3) =(2)/(5)`

2. The x coordinate of the point, is:

`x1+(a)/(a+b) (x2-x1)=-3+(2)/(5)(3-(-3)) =-0.6`

3. The y coordinate is:

`y1+(a)/(a+b) (y2-y1)=1+(2)/(5) (5-1)=2.6`

The answer is:
`P(-0.6, 2.6)`