Question

What are the coordinates of the point 3/4 of the way for A to B

Answer 1

Coordinates of the point P are
`(-(29)/(7),-1)`

Explanation:

If a point P(x, y) divides the line AB into the ratio of m : n, coordinates of this point will be,

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

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

In the given question m : n = 3 : 4

And the coordinates of A and B are (-5, -4) and (-3, 3) respectively.

x =
`(3(-3)+4(-5))/(3+4)`

x = -
`(29)/(7)`

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

y = -1

Therefore, coordinates of the given point P are
`((29)/(7),-1)`.