Linear Functions and Equations Quiz
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Questions and Answers

What is a linear function?

  • A function with multiple variables
  • A function with a vertical graph
  • A function that forms a curve
  • A function whose graph is a line (correct)

    • What does a linear equation represent?

    Linear functions

    What is Y called?

    Dependent variable

    What is X called?

    <p>Independent variable</p> Signup and view all the answers

    What is the y-intercept?

    <p>Point at which the line crosses the y-axis</p> Signup and view all the answers

    What is the x-intercept?

    <p>Point at which the line crosses the x-axis</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 is slope?

    <p>Ratio of the vertical change to a corresponding horizontal change</p> Signup and view all the answers

    What is point-slope form?

    <p>y - y1 = m(x - x1)</p> Signup and view all the answers

    What is slope-intercept form?

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

    Study Notes

    Linear Functions and Equations

    • A linear function is characterized by a graph that is a straight line.
    • A linear equation is an algebraic expression that represents linear functions.

    Variables

    • The dependent variable is represented by Y, which changes based on the value of the independent variable.
    • The independent variable is denoted as X, which is the variable that can be controlled or changed.

    Intercepts

    • The Y-intercept is the point where the graph of the function intersects the y-axis.
    • The X-intercept is the point at which the graph intersects the x-axis.

    Standard Form

    • The standard form of a linear equation is expressed as Ax + By = C, where A, B, and C are real numbers, and A and B cannot both be zero.

    Slope

    • The slope of a line is defined as the ratio of vertical change to horizontal change, illustrating how steep the line is.

    Equation Forms

    • Point-slope form of a linear equation is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a specific point on the line.
    • Slope-intercept form of a linear equation is expressed as y = mx + b, where m is the slope and b is the Y-intercept.

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    Description

    Test your knowledge on linear functions, equations, and their characteristics with this quiz. You will explore topics like variables, intercepts, standard form, and slope. Perfect for students learning about algebraic concepts!

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