Question

The point J is at –9 and point K is at –3. Find the point that divides JK into a 1:2 ratio. The length of JK is 6 units.
Use the number line to complete the statements.

For a ratio of 1:2, divide the length of JK into ? equal parts.

The point that divides JK in a 1:2 ratio is at ?
PLEASE HELP

Answer 1

Answer:

6

3

-7

Step-by-step explanation:

Answer 2

Answer:

For a ratio of 1:2, divide the length of JK into 3 equal parts. The point that divides JK in a 1:2 ratio is at -7.

Step-by-step explanation:

It is given that point J is at –9 and point K is at –3. The length of JK is 6 units.

The point divided the line segment JK in 1:2. The sum of ratio is

$1+2=3$

The sum of ratio is 3 it means for a ratio of 1:2, divide the length of JK into 3 equal parts.

The length of JK is 6 units. It means 6 is divided into 3 equal parts.

$\frac{6}{3}=2$

Length of each part is 2 units.

Using section formula.

$x=\frac{mx_2+nx_1}{m+n}$

$x=\frac{1(-3)+2(-9)}{1+2}$

$x=\frac{-3-18}{3}$

$x=\frac{-21}{3}$

$x=-7$

Therefore, the point that divides JK in a 1:2 ratio is at -7.