Find the coordinates of point, p, which divides the line segment from a = (4, 0) to b = (6, 8) in a ratio of 1: 2.

Given the points

A(x₁,y₁) = (4,0)

B(x₂,y₂) = (6,8)

ratio l:m = 1:2

The formula that we use to find the point P that divides the given line segment in the ratio l:m is

P(x,y) =

=

=

=

Hence the right option is B)

Then point P is ()

The correct answer is option 2.

Step-by-step explanation:

First let's calculate the distance between points A and B

A: (4.0)

B: (6.8)

The distance in x between both is:

The distance in the y axis between both is:

.

We know that the point divides the line segment in a 1: 2 ratio as shown in the following diagram

A --------- P ------------------- B

Where the distance PB is twice as large as the AP distance.

Then

Therefore Point P is at a distance d = 1/3 * () from point A.

So:

Then point P is ()

The correct answer is option 2.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).