So to find the y value of 2/3 the distance from point G to H, firstly we have to find how far away the y values are from each other. G's value is -1 and H's value is 3, therefore the distance in y is 4 units away. Multiply 4 by 2/3:
[tex]\frac{4}{1}\times \frac{2}{3}=\frac{8}{3}=2\frac{2}{3}[/tex]
Now, since from -1 to 3 you are increasing, add -1 and 2 2/3 together:
[tex]-1+2\frac{2}{3}=1\frac{2}{3}=\frac{5}{3}[/tex]
The y value of the point that's 2/3 the distance from point G to H is 1 2/3 or 5/3.
