Question

F is the point 3,4 and G is the point 9,13 .His the point that lies 2/3 of the way along

Show that H has coordinates 7,10

Answer 1

Explanation:

The method is as follows:

`(x_2-x_1,y_2-y_1)=` <components of directed segment>

<
`(2)/(3)`Δx,
`(2)/(3)`Δy> = <a, b>

<
`x_1+a,y_1+b`> = (coordinates of H).

Let's begin:

`(9-3,13-4)=` <6, 9>

<
`(2)/(3)(6),(2)/(3)(9)`> = (7, 10)