Podcast
Questions and Answers
What is the definition of an X-intercept?
What is the definition of an X-intercept?
- All points on the y-axis
- All points where y=0 (correct)
- All points where x=0
- All points on the x-axis (correct)
What is the definition of a Y-intercept?
What is the definition of a Y-intercept?
- All points on the y-axis (correct)
- All points where y=0
- All points on the x-axis
- All points where x=0 (correct)
What is an ordered pair?
What is an ordered pair?
Each point on the coordinate plane has an address called the ordered pair (x,y).
What does slope describe?
What does slope describe?
The formula for slope is given by rise over run: SLOPE = _____ / _____.
The formula for slope is given by rise over run: SLOPE = _____ / _____.
What is the slope-intercept form of a linear equation?
What is the slope-intercept form of a linear equation?
What is the X-axis?
What is the X-axis?
What is the Y-axis?
What is the Y-axis?
What is a quadrant?
What is a quadrant?
What does the x-coordinate indicate?
What does the x-coordinate indicate?
What does the y-coordinate indicate?
What does the y-coordinate indicate?
What is a linear equation?
What is a linear equation?
What is a solution in the context of coordinates?
What is a solution in the context of coordinates?
What is a horizontal line?
What is a horizontal line?
What is a vertical line?
What is a vertical line?
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Study Notes
Key Algebra Concepts
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X-intercept: Points on the x-axis with a y-value of 0, representing where a graph crosses the x-axis.
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Y-intercept: Points on the y-axis with an x-value of 0, representing where a graph crosses the y-axis.
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Ordered Pair: The coordinates (x, y) that specify the location of a point on the coordinate plane.
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Slope: A measure of the steepness of a line, indicating how much the line rises or falls over a horizontal distance.
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Slope Formula: Calculated as the rise (vertical change) over the run (horizontal change), expressed as SLOPE = rise/run.
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Slope-intercept Form: The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.
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X-axis: The horizontal number line used in a Cartesian coordinate system.
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Y-axis: The vertical number line used in a Cartesian coordinate system.
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Quadrants: The coordinate plane is divided into four sections; each quadrant corresponds to a combination of positive and negative values for x and y.
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X-coordinate: Indicates the location along the x-axis in an ordered pair.
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Y-coordinate: Indicates the location along the y-axis in an ordered pair.
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Linear Equation: An equation with two variables that can be written in the form ax + b = 0, containing an infinite number of solutions.
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Solution: Represented by a point on the coordinate plane where the equation holds true.
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Horizontal Line: A line that runs from side to side, maintaining a constant y-value.
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Vertical Line: A line that goes straight up and down, maintaining a constant x-value.
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