Pregunta
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  1. Graph the following points on the coordinate plane
    Point
    Point
    Point
    CUCK TO SELECT

Ask by Hanson Ortega. in the United States
Jan 26,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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Plot the points A(-4,0), B(-10,3), and C(-10,-3) on the coordinate plane by moving horizontally and vertically based on their x and y coordinates.

Solución

To graph the points A(-4, 0), B(-10, 3), and C(-10, -3) on the coordinate plane, follow these steps:

1. Set Up the Coordinate Plane

  • Draw the Axes: Draw a horizontal line for the x-axis and a vertical line for the y-axis. They should intersect at the origin (0, 0).
  • Mark the Scales: Decide on a scale (e.g., each unit on the graph represents 1 unit). Since the x-coordinates go down to -10 and the y-coordinates up to 3 and down to -3, ensure your graph accommodates these ranges.

2. Plot Each Point

Point A(-4, 0)

  • x-coordinate (-4): Start at the origin (0,0) and move 4 units to the left along the x-axis.
  • y-coordinate (0): Since it’s 0, you stay on the x-axis.
  • Plot Point A: Place a dot at (-4, 0) and label it A.

Point B(-10, 3)

  • x-coordinate (-10): Start at the origin and move 10 units to the left along the x-axis.
  • y-coordinate (3): From there, move up 3 units parallel to the y-axis.
  • Plot Point B: Place a dot at (-10, 3) and label it B.

Point C(-10, -3)

  • x-coordinate (-10): Start at the origin and move 10 units to the left along the x-axis.
  • y-coordinate (-3): From there, move down 3 units parallel to the y-axis.
  • Plot Point C: Place a dot at (-10, -3) and label it C.

3. Visual Representation

Here’s a simple ASCII representation of the coordinate plane with the points plotted:
y
|
3 |          B (-10,3)
2 |
1 |
0 |--------A(-4,0)------------------> x
-1 |
-2 |
-3 |          C (-10,-3)
Note: In a more detailed graph, each unit would be equally spaced, and you’d have tick marks for each integer value. For accuracy and clarity, it’s recommended to use graph paper or a digital graphing tool.

4. Using a Graphing Tool

For a more precise and visually clear graph, consider using online graphing tools such as:
Simply enter the coordinates, and the tool will plot the points for you automatically.

Summary of Points

Point Coordinates
A (-4, 0)
B (-10, 3)
C (-10, -3)
By following these steps, you should be able to accurately graph the points A, B, and C on the coordinate plane.

Respondido por UpStudy AI y revisado por un tutor profesional

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Beyond the Answer

Once you’ve plotted Point , you’ll notice it’s right on the x-axis, making it a great reference point! For Point and Point , both share the same x-coordinate. This means they will stack up vertically on the left side of the plane—perfect for visualizing opposite positions!
As you graph the points, remember that the coordinate plane has four quadrants. Point is located in the second quadrant (where x is negative and y is positive) while Point dips down into the third quadrant (both x and y are negative). This spatial layout can help you understand relationships between the points!

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