Question

Draw and label a coordinate plane on a piece of grid paper. Then graph and label each point. \(L(-1,4)\)

Short answer

Plot point L at (-1,4) on the coordinate plane and label it.

Step-by-step solution

Draw the Coordinate Plane

On a piece of grid paper, draw two perpendicular lines that intersect at the center. Label the horizontal line as the x-axis and the vertical line as the y-axis. Mark the center point as the origin (0,0).

Number the Axes

Starting from the origin, label equal intervals on both the x-axis and y-axis. For this exercise, label numbers from -5 to 5 on both axes, ensuring spacing allows for easy reading.

Plot Point L(-1,4)

Locate the point L(-1,4) by starting at the origin. Move 1 unit left along the x-axis to reach -1, then move 4 units up parallel to the y-axis to reach the coordinate (4). Place a dot at this location.

Label the Point

Next to the dot that marks the coordinate (-1,4), write the letter 'L' to indicate that this point is labeled as L.

Key concepts

Graphing Points

Graphing points is a fundamental skill in understanding the coordinate plane. The coordinate plane consists of two lines - the horizontal line called the x-axis and the vertical line called the y-axis. These lines intersect at a point called the origin, marked as (0,0). When graphing points like L(-1,4), we begin at the origin. From there:

• For the x-coordinate (-1), move left one unit
• For the y-coordinate (4), move up four units

This process helps pinpoint the exact location of the point on the plane. By marking a dot at this location, we have successfully graphed the point. Knowing how to graph points accurately is essential for various math and science applications.

Plotting Coordinates

When diving into the world of plotting coordinates, it's all about the interaction between x and y values. Each point on a grid is represented by a pair of numbers written in parentheses like \((-1,4)\). The first number is the x-coordinate, which tells us how far to move horizontally. The second number is the y-coordinate, showing how far we need to move vertically. This pair of numbers is like an address, guiding you to a specific location on the grid. Here's how you do it:

• Begin at the origin (0,0)
• Move along the x-axis according to the x-coordinate
• Proceed parallel to the y-axis as indicated by the y-coordinate

By following these simple steps, you can master the art of plotting any set of coordinates.

Axes Labeling

Axes labeling is a crucial part of creating and understanding a coordinate plane. By properly labeling the axes, we provide clarity and help avoid confusion. Start by drawing two perpendicular lines that intersect at the origin. Label the horizontal line as the 'x-axis' and the vertical line as the 'y-axis'. Next, assign numbers to the axes, creating a scale. A typical scale might range from -5 to 5, with numbers placed at equal intervals on both the x and y axes. Proper labels transform a blank grid into a meaningful plot that we can navigate easily. Clear labeling helps in quicker recognition of specific plotted points and is key in accurately communicating data on the graph.