48.6k views
0 votes
The coordinate plane below show the location of point k. point L is located 3 units to the right of point K.

what are the coordinates of point L ?

2 Answers

3 votes

Final Answer:

The coordinates of point L are (x+3, y), where (x, y) are the coordinates of point K.

Step-by-step explanation:

In the Cartesian coordinate system, a point is represented by an ordered pair (x, y). When we say point K has coordinates (x, y), it means its horizontal position is x units and its vertical position is y units. To find the coordinates of point L, which is 3 units to the right of point K, we need to add 3 to the x-coordinate of point K. Therefore, the x-coordinate of point L is x+3, and the y-coordinate remains the same.

In mathematical terms, if point K has coordinates (x, y), then point L will have coordinates (x+3, y). This is because moving to the right on the coordinate plane involves increasing the x-coordinate.

So, when we add 3 to the x-coordinate of point K, we get the new x-coordinate for point L. The y-coordinate remains unchanged because the points have the same vertical position. This understanding of the Cartesian coordinate system helps us locate and describe the positions of points in a two-dimensional space.

User Hemraj
by
8.0k points
2 votes

Final answer:

To find the coordinates of point L, which is 3 units to the right of point K, we add 3 to the x-coordinate of point K. The coordinates of point L will be (x_k + 3, y_k), assuming point K's coordinates are (x_k, y_k).

Step-by-step explanation:

The student has asked for the coordinates of a point L that is 3 units to the right of point K on a coordinate plane. To find the coordinates of point L, you need to know the coordinates of point K (xk, yk) first. Assuming that the coordinates of point K are known, the coordinates of point L can be determined by adding 3 to the x-coordinate of point K while keeping the y-coordinate the same since we are moving horizontally to the right.

Let's say point K has coordinates (xk, yk). To move 3 units to the right, we add 3 units to the x-coordinate of K:
Coordinates of Point L = (xk + 3, yk).

This process utilizes the basic principles of the Cartesian coordinate system where horizontal movement affects the x-coordinate and vertical movement affects the y-coordinate.

The complete question is: content loaded

the coordinate plane below show the location of point k. point L is located 3 units to the right of point K.

what are the coordinates of point L ? is:

User Nativelectronic
by
8.2k points