To find the coordinate of point Y such that the ratio of MY to YJ is 2:3, we need to understand what this ratio represents.
In this case, MY represents the distance from point M to point Y, and YJ represents the distance from point Y to point J. The ratio of MY to YJ being 2:3 means that the distance MY is two parts and the distance YJ is three parts.
Now, let's look at the number line. We need to find the coordinate of point Y, which is the point that satisfies this ratio.
Since the ratio is 2:3, we can divide the number line between point M and point J into 5 equal parts. The two parts represent MY, and the three parts represent YJ.
To determine the coordinates, we can start at point M and count two of these equal parts. Then, we continue counting three more equal parts to reach point Y. The coordinate of point Y will be the end point of these three parts.
In this case, if the number line starts at point M with a coordinate of 4, we count two parts which would bring us to 4 + 2 = 6. Then, we count three more parts, which would bring us to 6 + 3 = 9.
Therefore, the coordinate of point Y is 6.4, meaning that point Y is located at 6.4 on the number line.