Question

Find the coordinates of point b on ac such that AB is 1/3 of AC

Answer 1

(3,3)

Explanation:

8--7=15

15/3 = 5

8-5=3

ordered pair at x=3 is (3,3)

Answer 2

`B = (3, 3)`

Explanation:

From the given graph the coordinates of A are (8,1) and coordinates of C are (-7,7).

The point B lies on the given line AC and divides the line such that
`AB = (1)/(3)AC`

Thus, it can be said that the point B divides the line in the ratio 1:2.

By, section formula we have:

`B = \bigg(\displaystyle(mx_2 + nx_1)/(m+n), \displaystyle(my_2 + ny_1)/(m+n)\bigg)`

where, m:n is the ration in which the line is divided.

Here,

`m:n = 1:2\\(x_1, y_1) = (8,1)\\(x_2, y_2) = (-7,7)`

Putting, all the values, we have,

`B = \bigg(\displaystyle(-7 + 16)/(3), \displaystyle(7 + 2)/(3)\bigg)`

`B = (3, 3)`