Questions and Answers
What is the definition of an X-intercept?
What is the definition of a Y-intercept?
What is an ordered pair?
Each point on the coordinate plane has an address called the ordered pair (x,y).
What does slope describe?
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The formula for slope is given by rise over run: SLOPE = _____ / _____.
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What is the slope-intercept form of a linear equation?
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What is the X-axis?
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What is the Y-axis?
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What is a quadrant?
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What does the x-coordinate indicate?
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What does the y-coordinate indicate?
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What is a linear equation?
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What is a solution in the context of coordinates?
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What is a horizontal line?
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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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Test your knowledge with these flashcards covering key concepts from Unit 4 of Algebra 1. Focus on important terms such as x-intercept, y-intercept, ordered pairs, and slope to enhance your understanding. Perfect for quick review and reinforcement of your learning!