Algebra Class: Understanding Slope and Functions
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Questions and Answers

What is the slope of the equation Nate: -3x - 10?

  • -3 (correct)
  • 0
  • 3
  • -10
  • How can you confirm that the rate of change in a linear equation is constant?

  • By checking the slope between any two points on the line. (correct)
  • By calculating the slope at multiple points.
  • By making a scatter plot of points.
  • By evaluating the y-intercept at varying values of x.
  • What does a steeper graph indicate about the rate of change?

  • It indicates a slower rate of change.
  • It indicates no change at all.
  • It indicates a faster rate of change. (correct)
  • It indicates variable rate of change.
  • When finding the rate of change over the interval 4-8, what is being measured?

    <p>The change in y relative to the change in x.</p> Signup and view all the answers

    What is the significance of finding 'perfect' points on a graph?

    <p>They help establish the slope and provide accurate rate of change.</p> Signup and view all the answers

    What is the output when the input is 2 and using the rule -x?

    <p>-2</p> Signup and view all the answers

    Which of the following defines a function based on the description provided?

    <p>A set of input-output pairs with unique x-values.</p> Signup and view all the answers

    Given the point (2, 7), what is the value of b in the equation $y=3.5x+b$?

    <p>0</p> Signup and view all the answers

    Which type of function represents the graph passing through the points (0, 3) and (10, 3)?

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

    What is the correct rearrangement of the equation $2y=5x+10$ to isolate y?

    <p>y = 2.5x + 5</p> Signup and view all the answers

    What is the slope of the line that goes through points (0, 3) and (10, 3)?

    <p>0</p> Signup and view all the answers

    What is the output of the function if the input is x = -2 for the rule defined by -x?

    <p>2</p> Signup and view all the answers

    Considering the inequality represented by -5 ≤ x ≤ -3, which interval does this correspond to on the graph?

    <p>The region between -5 and -3, inclusive</p> Signup and view all the answers

    If a graph shows a straight horizontal line, what can be concluded about the y-coordinates of the points on that line?

    <p>All y-coordinates are equal</p> Signup and view all the answers

    In the context of the given graph, if the x-axis and y-axis are not marked with scale, which aspect might be difficult to determine?

    <p>The actual values of the points plotted</p> Signup and view all the answers

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