Math Problem Statement
Solution
The exercise asks to plot and label points on a Cartesian plane. Below are the points to plot from the image you uploaded:
- C(0, 4) – On the y-axis, 4 units above the origin.
- A(3, -2) – 3 units to the right and 2 units down.
- R(-5, 3) – 5 units to the left and 3 units up.
- T(0, 7) – On the y-axis, 7 units above the origin.
- E(-3, 6) – 3 units to the left and 6 units up.
- S(½, 6) – ½ unit to the right and 6 units up.
- I(5/2, 4) – 2.5 units to the right and 4 units up.
- N(-7, ¼) – 7 units to the left and ¼ unit up.
- P(-½, -½) – ½ unit to the left and ½ unit down.
- 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:
- What is the significance of a point lying directly on the y-axis, like C(0, 4)?
- How does the placement of a point change when one coordinate is a fraction?
- Can you describe the quadrant in which each point lies?
- What is the relationship between negative coordinates and the direction on the axes?
- 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
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