Question

The location of point V is (-3,3). The location of point X is (9,13). Determine the location of point W which is 3/4 of the way from V to X

Answer 1

`W((9)/(7),(51)/(7) )`

Step-by-step explanation

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

`x= (mx_2+nx_1)/(m + n)`

`x= (3(9)+4( - 3))/(4 + 3)`

`x= (21 - 12)/(4 + 3)`

`x= (9)/(7)`

The y-coordinates is given by;

`y= (my_2+ny_1)/(m + n)`

`y= (3(13)+4( 3))/(4 + 3)`

`y= (39+12)/(4 + 3)`

`y= (51)/(7)`

Hence

`W((9)/(7),(51)/(7) )`