PreCal Chapter 1: Functions and Graphs Flashcards
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Questions and Answers

What is the formula for slope?

  • m = y2 + y1 / x2 + x1
  • m = y2 - y1 / x2 - x1 = change in y / change in x (correct)
  • m = y1 - y2 / x1 - x2
  • m = (y2 + y1) / (x2 + x1)
  • What is the point-slope form of a line?

    y - y1 = M(x - x1)

    A line with positive slope (m > 0) is represented as ______.

    rising

    A line with negative slope (m < 0) is represented as ______.

    <p>falling</p> Signup and view all the answers

    Study Notes

    Slope

    • Represents the steepness of a line in the coordinate plane.
    • Calculated using the formula: m = (y2 - y1) / (x2 - x1)
    • Also expressed as the change in y (vertical) over the change in x (horizontal).

    Point-Slope Form

    • A useful equation for linear functions that describes the relationship between points on a line.
    • Given by the formula: y - y1 = m(x - x1)
    • m represents the slope, and (x1, y1) is a specific point on the line.

    Positive and Negative Slopes

    • A line with a positive slope (m > 0) rises as it moves from left to right.
    • A line with a negative slope (m < 0) falls as it moves from left to right.
    • The slope indicates the direction of the line: positive slopes indicate upward movement, while negative slopes indicate downward movement.

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    Description

    Test your knowledge on functions and their graphs with this set of flashcards. Covering key concepts such as slope and point-slope form, this quiz will reinforce your understanding of foundational PreCalculus topics. Perfect for students preparing for exams or enhancing their math skills.

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