Question

Point G is located at (3, −1) and point H is located at (−2, 3). Find the x value for the point that is 2/3 the distance from point G to point H.

a. 1.5

b. −0.33

c. −0.5

d. 6.33

Answer 1

The x of the new point will be 2/3 of the x(G) and x(H)

Answer 2

find the x distance from G's x value (3 ) to H's x value (-2)

the distance from 3 to -2 is 5 in the negative direction. or -5

in other words if we start at 3 and add -5 we end up at 3-5= -2

you want to go ⅔ of that distance so do 3+ ⅔ (-5) = -⅓
as the x value of the point you are looking for.

do the same for the y value