Math Problem Statement

Draw a Cartesian plane. Plot and label the following points: C(0, 4), A(3, -2), R(-5, 3), T(0, 7), E(-3, 6), S(1/2, 6), I(5/2, 4), N(-7, 1/4), P(-1/2, -1/2), L(-8, 1/2).

Solution

The exercise asks to plot and label points on a Cartesian plane. Below are the points to plot from the image you uploaded:

  1. C(0, 4) – On the y-axis, 4 units above the origin.
  2. A(3, -2) – 3 units to the right and 2 units down.
  3. R(-5, 3) – 5 units to the left and 3 units up.
  4. T(0, 7) – On the y-axis, 7 units above the origin.
  5. E(-3, 6) – 3 units to the left and 6 units up.
  6. S(½, 6) – ½ unit to the right and 6 units up.
  7. I(5/2, 4) – 2.5 units to the right and 4 units up.
  8. N(-7, ¼) – 7 units to the left and ¼ unit up.
  9. P(-½, -½) – ½ unit to the left and ½ unit down.
  10. L(-8, ½) – 8 units to the left and ½ unit up.

You can plot these points on a Cartesian plane by drawing the x-axis (horizontal) and y-axis (vertical) and marking these coordinates.

Would you like any help creating the Cartesian plane or understanding how to plot these points?

Here are 5 related questions to deepen your understanding:

  1. What is the significance of a point lying directly on the y-axis, like C(0, 4)?
  2. How does the placement of a point change when one coordinate is a fraction?
  3. Can you describe the quadrant in which each point lies?
  4. What is the relationship between negative coordinates and the direction on the axes?
  5. How would you calculate the distance between two points on the plane?

Tip: Always check the signs of your coordinates to ensure you're plotting in the correct direction on the axes.

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Math Problem Analysis

Mathematical Concepts

Cartesian Coordinate System
Plotting Points
Coordinates

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7