Podcast
Questions and Answers
What does 'Ordered Pairs' represent?
What does 'Ordered Pairs' represent?
What is the definition of Slope?
What is the definition of Slope?
The steepness of a line on a graph
What does Positive slope indicate?
What does Positive slope indicate?
Points up
What does Negative slope indicate?
What does Negative slope indicate?
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What is an Undefined slope?
What is an Undefined slope?
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What does Zero slope indicate?
What does Zero slope indicate?
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What is the formula to calculate slope?
What is the formula to calculate slope?
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What is the Y-intercept?
What is the Y-intercept?
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What is the X-intercept?
What is the X-intercept?
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What is the Slope-Intercept Form of a line?
What is the Slope-Intercept Form of a line?
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What does the Domain of a graph represent?
What does the Domain of a graph represent?
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What does the Range of a graph represent?
What does the Range of a graph represent?
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What is the Standard Form of a linear equation?
What is the Standard Form of a linear equation?
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What does HOY stand for?
What does HOY stand for?
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What does VUX stand for?
What does VUX stand for?
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What is the definition of Slope?
What is the definition of Slope?
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What does 'Rise over run' mean in relation to slope?
What does 'Rise over run' mean in relation to slope?
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What is the Y-intercept commonly referred to as?
What is the Y-intercept commonly referred to as?
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What is the Linear Parent Function?
What is the Linear Parent Function?
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In the equation y = mx + b, which term represents a point on the graph?
In the equation y = mx + b, which term represents a point on the graph?
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What does 'Linear' refer to in mathematics?
What does 'Linear' refer to in mathematics?
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What does 'Nonlinear' refer to in mathematics?
What does 'Nonlinear' refer to in mathematics?
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Study Notes
Ordered Pairs
- Represents a point on the graph using coordinates in the format (x, y).
Slope
- Indicates the steepness of a line, representing the rate of change between two points.
Positive Slope
- A line with a positive slope rises from left to right, indicating a direct relationship.
Negative Slope
- A line with a negative slope descends from left to right, indicating an inverse relationship.
Undefined Slope
- Occurs with vertical lines, where the slope cannot be quantified.
Zero Slope
- Associated with horizontal lines, indicating that there is no change in the y-values.
Formula to Calculate Slope
- Slope (m) is calculated using the formula m = (y₂ - y₁) / (x₂ - x₁).
Y-Intercept
- The point where the line intersects the y-axis, representing the value of y when x equals zero.
X-Intercept
- The point where the line intersects the x-axis, representing the value of x when y equals zero.
Slope-Intercept Form
- Represents a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept.
Domain
- Refers to all possible x-values that a function can take.
Range
- Represents all possible y-values that a function can produce.
Standard Form
- A linear equation represented as Ax + By = C, where A, B, and C are constants. Use the cover-up method to find intercepts.
HOY (Horizontal Line)
- Indicates a horizontal line with a zero slope, can be represented as y = # (constant).
VUX (Vertical Line)
- Denotes a vertical line with an undefined slope, can be represented as x = # (constant).
Slope Characteristics
- The slope is the rate of change, serving as a coefficient in the linear equation.
- Can also be defined as "rise over run," illustrating the vertical change over horizontal change.
Linear Parent Function
- The simplest linear function given by y = x or f(x) = x, representing a straight line through the origin.
Y-Intercept in Context
- In the slope-intercept form, b represents the y-intercept. For example, in y = 2x + 3, b is 3, representing the point (0, 3).
Linear vs Nonlinear Functions
- Linear functions produce straight lines, while nonlinear functions result in curves or other shapes.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Enhance your understanding of slope concepts with these flashcards. Each card outlines key terms such as ordered pairs, positive and negative slopes, and their definitions. Perfect for Algebra 1 students looking to reinforce their knowledge.
