On a coordinate plane, point A is located at (-3,3) and point B is located at (1,6). Determine the coordinates of the point that is 4/7 of the distance from A to B. write in the form (x,y)

Question

On a coordinate plane, point A is located at (-3,3) and point B is located at (1,6). Determine the coordinates of the point that is 4/7 of the distance from A to B. write in the form (x,y)

Answer 1

A (-3,3) B (1,6)

From A to B,

x increases by 1 - -3 = 4

y increases by 6-3 = 3

4/7 of 4 = 16/7

4/7 of 3 = 12/7

the point 3/4 of the way from A to B = (-3+16/7, 3+12/7) = (-5/7, 33/7) = (-5/7, 4 5/7)