Algebra 1 Lesson 3.1 Flashcards
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Algebra 1 Lesson 3.1 Flashcards

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Questions and Answers

What is the definition of a linear equation?

  • An equation that forms a circle when it is graphed.
  • An equation that forms a curve when graphed.
  • An equation with no solutions.
  • An equation that forms a line when it is graphed. (correct)
  • What is the standard form of a linear equation?

    Ax + By = C

    What does the constant represent in a linear equation?

    C

    What is an x-intercept?

    <p>The point at which the graph of the equation crosses the x-axis.</p> Signup and view all the answers

    What is a y-intercept?

    <p>The point at which the graph of the equation crosses the y-axis.</p> Signup and view all the answers

    Study Notes

    Linear Equations

    • A linear equation represents a relationship that results in a straight line when graphed.
    • The general form of a linear equation is expressed as Ax + By = C.

    Standard Form

    • Standard form of a linear equation is represented as Ax + By = C.
    • A, B, and C are constants, with A and B not simultaneously equal to zero.

    Constants

    • In the context of a linear equation, C represents the constant term.
    • Constants are fixed values that do not change and help determine the position of the line on the graph.

    x-Intercept

    • The x-intercept indicates where the graph intersects the x-axis.
    • This point is characterized by the coordinates (x, 0), where the value of y is zero.

    y-Intercept

    • The y-intercept shows where the graph intersects the y-axis.
    • This point is characterized by the coordinates (0, y), where the value of x is zero.

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    Description

    Dive into the concepts of linear equations with these flashcards from Algebra 1 Lesson 3.1. Each card provides key terms and definitions that will help reinforce your understanding of graphing and intercepts. Ideal for students preparing for exams or reviewing critical math concepts.

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