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Questions and Answers
What is the quadrant where the x-coordinate and y-coordinate are both positive?
What is the quadrant where the x-coordinate and y-coordinate are both positive?
- Quadrant I (correct)
- Quadrant II
- Quadrant III
- Quadrant IV
Which axis measures the x-coordinate?
Which axis measures the x-coordinate?
- Vertical axis
- Horizontal axis
- Y-axis
- X-axis (correct)
What is the point of intersection of the X-axis and Y-axis?
What is the point of intersection of the X-axis and Y-axis?
- (1, -1)
- (0, 0) (correct)
- (1, 1)
- (-1, -1)
To graph a point with a negative x-coordinate, which direction do you move from the origin?
To graph a point with a negative x-coordinate, which direction do you move from the origin?
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What is the ordered pair that represents a point on the coordinate plane?
What is the ordered pair that represents a point on the coordinate plane?
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Study Notes
Coordinate Plane
Quadrants
- The coordinate plane is divided into four quadrants:
- Quadrant I: (+, +) - Upper right quadrant
- Quadrant II: (-, +) - Upper left quadrant
- Quadrant III: (-, -) - Lower left quadrant
- Quadrant IV: (+, -) - Lower right quadrant
Axes
- The coordinate plane has two axes:
- X-axis (horizontal axis): measures the x-coordinate (abscissa)
- Y-axis (vertical axis): measures the y-coordinate (ordinate)
- The axes intersect at the origin (0, 0)
Graphing Points
- A point on the coordinate plane is represented by an ordered pair (x, y)
- The x-coordinate is the distance from the y-axis, and the y-coordinate is the distance from the x-axis
- To graph a point, start at the origin and move:
- x units to the right (if x is positive) or left (if x is negative)
- y units up (if y is positive) or down (if y is negative)
Coordinate Plane
Quadrants
- Coordinate plane is divided into four quadrants, each with its own unique signs for x and y coordinates
- Quadrant I: Upper right quadrant, (+, +) signs
- Quadrant II: Upper left quadrant, (-, +) signs
- Quadrant III: Lower left quadrant, (-, -) signs
- Quadrant IV: Lower right quadrant, (+, -) signs
Axes
- Two axes: X-axis (horizontal) and Y-axis (vertical)
- X-axis measures x-coordinate (abscissa)
- Y-axis measures y-coordinate (ordinate)
- Axes intersect at origin (0, 0)
Graphing Points
- Point on coordinate plane is represented by ordered pair (x, y)
- x-coordinate is distance from Y-axis, and y-coordinate is distance from X-axis
- To graph a point, start at origin and move:
- Right (if x is positive) or left (if x is negative) by x units
- Up (if y is positive) or down (if y is negative) by y units
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