Algebra 1 - Slope Flashcards
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Questions and Answers

What does 'Ordered Pairs' represent?

  • The area under a curve
  • A color on the graph
  • The slope of a line
  • A point on the graph (x,y) (correct)

    • What is the definition of Slope?

    The steepness of a line on a graph

    What does Positive slope indicate?

    Points up

    What does Negative slope indicate?

    <p>Points down</p> Signup and view all the answers

    What is an Undefined slope?

    <p>A vertical line</p> Signup and view all the answers

    What does Zero slope indicate?

    <p>A horizontal line</p> Signup and view all the answers

    What is the formula to calculate slope?

    <p>Not provided</p> Signup and view all the answers

    What is the Y-intercept?

    <p>Where the line crosses the y-axis</p> Signup and view all the answers

    What is the X-intercept?

    <p>Where the line crosses the x-axis</p> Signup and view all the answers

    What is the Slope-Intercept Form of a line?

    <p>y = mx + b</p> Signup and view all the answers

    What does the Domain of a graph represent?

    <p>x-values of a graph</p> Signup and view all the answers

    What does the Range of a graph represent?

    <p>y-values of a graph</p> Signup and view all the answers

    What is the Standard Form of a linear equation?

    <p>Ax + By = C</p> Signup and view all the answers

    What does HOY stand for?

    <p>H = Horizontal Line, O = Zero Slope, Y = y = #equation</p> Signup and view all the answers

    What does VUX stand for?

    <p>V = Vertical Line, U = Undefined Slope, X = x = #equation</p> Signup and view all the answers

    What is the definition of Slope?

    <p>Rate of change, coefficient</p> Signup and view all the answers

    What does 'Rise over run' mean in relation to slope?

    <p>Defines the calculation of slope</p> Signup and view all the answers

    What is the Y-intercept commonly referred to as?

    <p>Initial amount or flat rate</p> Signup and view all the answers

    What is the Linear Parent Function?

    <p>y = x or f(x) = x</p> Signup and view all the answers

    In the equation y = mx + b, which term represents a point on the graph?

    <p>b, example y = 2x + 3, b = 3 or (0,3)</p> Signup and view all the answers

    What does 'Linear' refer to in mathematics?

    <p>Straight line</p> Signup and view all the answers

    What does 'Nonlinear' refer to in mathematics?

    <p>Not a straight line</p> Signup and view all the answers

    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.

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    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.

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