Podcast
Questions and Answers
A point is located at (6, 0) on a coordinate plane. Which statement accurately describes its position?
A point is located at (6, 0) on a coordinate plane. Which statement accurately describes its position?
- It is located on the origin.
- It is located on the y-axis at the point 6.
- It is located on the x-axis at the point 6. (correct)
- It is located neither on the x-axis nor the y-axis.
What is the crucial difference when plotting the points (3, 7) and (7, 3) on a coordinate plane?
What is the crucial difference when plotting the points (3, 7) and (7, 3) on a coordinate plane?
- The starting point on the x-axis differs; 3 units for (3,7) versus 7 units for (7,3). (correct)
- The scale of the x and y axes must be different to plot them.
- Both points will overlap because addition is commutative.
- The y-axis value determines the direction: up for (3,7) and down for (7,3).
If a point has an x-coordinate of 0, where is it located on the coordinate plane?
If a point has an x-coordinate of 0, where is it located on the coordinate plane?
- At some random location depending on the y value.
- At the origin
- On the y-axis (correct)
- On the x-axis
Point A is located at (4, 9) on a coordinate plane. Describe the steps to reach point A starting from the origin.
Point A is located at (4, 9) on a coordinate plane. Describe the steps to reach point A starting from the origin.
A point is located 10 units to the right of the origin along the x-axis. What are its coordinates?
A point is located 10 units to the right of the origin along the x-axis. What are its coordinates?
Which point is located closest to the origin?
Which point is located closest to the origin?
Consider the points (a, b) and (b, a). Which of the following statements is always true?
Consider the points (a, b) and (b, a). Which of the following statements is always true?
Which of these points is located furthest from the y-axis?
Which of these points is located furthest from the y-axis?
A straight line is drawn from the origin to the point (5, 5). Which of the following points also lies on this line?
A straight line is drawn from the origin to the point (5, 5). Which of the following points also lies on this line?
A rectangle has corners at (0, 0), (5, 0), and (5, 3). What are the coordinates of the fourth corner?
A rectangle has corners at (0, 0), (5, 0), and (5, 3). What are the coordinates of the fourth corner?
Flashcards
What is the x-axis?
What is the x-axis?
The horizontal axis on a coordinate plane.
What is the y-axis?
What is the y-axis?
The vertical axis on a coordinate plane.
What are coordinates?
What are coordinates?
A pair of numbers (x, y) that define a point's location.
What is the x-coordinate?
What is the x-coordinate?
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What is the y-coordinate?
What is the y-coordinate?
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What is the origin?
What is the origin?
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How to plot a point (x, y)?
How to plot a point (x, y)?
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What happens when x=0?
What happens when x=0?
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What happens when y=0?
What happens when y=0?
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Does order matter in (x, y)?
Does order matter in (x, y)?
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Study Notes
- Explains how to plot points on a coordinate plane using positive numbers, specifically in quadrant 1
- The x-axis is horizontal, going side to side
- The y-axis is vertical, going up and down
Plotting Points
- Coordinates are given as ordered pairs (x, y), where x is the x-coordinate and y is the y-coordinate
- The x-coordinate indicates the horizontal distance from the origin (0,0)
- The y-coordinate indicates the vertical distance from the origin (0,0)
- To plot a point, start at the origin (0,0), move horizontally according to the x-coordinate, and then vertically according to the y-coordinate
Examples
- (5,8) means go over 5 on the x-axis and up 8 on the y-axis
- (8,5) means go over 8 on the x-axis and up 5 on the y-axis
- Order matters: (5,8) is a different point than (8,5)
- (2,1) means go over 2 on the x-axis and up 1 on the y-axis
- (4,10) means go over 4 on the x-axis and up 10 on the y-axis
Special Cases
- When the x-coordinate is 0, the point lies on the y-axis
- For example, (0,7) is on the y-axis at the point 7
- When the y-coordinate is 0, the point lies on the x-axis
- For example, (3,0) is on the x-axis at the point 3
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