Slope-Intercept Form Quiz
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Questions and Answers

Which graph could represent the leaf's height in feet as a function of time, in seconds, after leaving the branch?

  • Graph C
  • Graph B
  • Graph D (correct)
  • Graph A
  • What are the slope and y-intercept of the linear function graphed?

    slope: b; y-intercept: 1

    Which statements are true about the lines forming trapezoid WXYZ? Select three options.

  • Line XW has a greater slope than line YZ
  • Line ZW has the same y-intercept as line YZ (correct)
  • Line XW has a lesser slope than line YZ (correct)
  • Line WZ has the same slope as line XY (correct)
  • What is the y-intercept of the function f(x) = -x + ?

    <p>1/3</p> Signup and view all the answers

    Which graph represents a line with a slope of _ and a y-intercept equal to that of the line y = x - 2?

    <p>Graph D</p> Signup and view all the answers

    Which equation represents Grant's path in the pool?

    <p>y = 4 - x/2</p> Signup and view all the answers

    Which equation represents Nolan's line?

    <p>y = 2x + 3</p> Signup and view all the answers

    What is the slope of the line represented by the equation y = -5/3 - 5x?

    <p>-5</p> Signup and view all the answers

    Which equation can be used to determine m, the number of measures Harita still needs to memorize?

    <p>m = 90 - 6d</p> Signup and view all the answers

    Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?

    <p>y = 2x - 48</p> Signup and view all the answers

    What equation represents the graphed function?

    <p>y = -1/3x + 3</p> Signup and view all the answers

    Which equation represents the revenue in dollars as a function of greeting cards sold?

    <p>y = 4x</p> Signup and view all the answers

    What is the slope of the line represented by the equation y = 4/5x - 3?

    <p>4/5</p> Signup and view all the answers

    What is the slope of the line represented by the equation y = -1/2x + 1/4?

    <p>-1/2</p> Signup and view all the answers

    What is the y-intercept of the function f(x) = -2/9x + 1/3?

    <p>1/3</p> Signup and view all the answers

    Which equation represents Nolan's line?

    <p>y = 2x + 3</p> Signup and view all the answers

    Study Notes

    Slope-Intercept Form of a Line

    • Slope-intercept form of a line is represented as ( y = mx + b ) where ( m ) is the slope and ( b ) is the y-intercept.

    • A leaf falls from a height of 12 feet at a rate of 0.25 feet/sec. Its height as a function of time can be modeled using linear equations.

    • For a graphed linear function, the slope is given as an upward or downward trajectory while the y-intercept corresponds to the point where the line intersects the y-axis.

    • In trapezoid WXYZ formed by lines on a coordinate plane:

      • Line WZ has the same slope as line XY.
      • Line XW has a lesser slope compared to line YZ.
      • Line ZW shares the same y-intercept as line YZ.
    • For the function ( f(x) = -x + ? ), the y-intercept is calculated to be ( \frac{1}{3} ).

    • To determine a line with a specific slope and y-intercept that corresponds to ( y = x - 2 ), analyze graphs to identify these characteristics.

    • Grant’s swimming path in a pool modeled on a coordinate graph can be defined with the equation ( y = 4 - \frac{x}{2} ).

    • Nolan plots a line with a y-intercept of (0, 3) and a slope of 2, leading to the equation ( y = 2x + 3 ).

    • The line represented by the equation ( y = -\frac{2}{3} - 5x ) has a slope of -5.

    • For Harita's music measures, her process of memorizing measures yields the equation ( m = 90 - 6d ).

    • The profit function for a hot dog stand is dependent on sales. The equation ( y = 2x - 48 ) captures the profit based on ( x ) hot dogs sold.

    • A linear equation representing a graphed function could be ( y = -\frac{1}{3}x + 3 ).

    • Revenue generated by greeting cards sold is modeled by ( y = 4x ), indicating the profit earned per card.

    • The slope of the equation ( y = \frac{4}{5} x - 3 ) is ( \frac{4}{5} ).

    • For the equation ( y = -\frac{1}{2}x + \frac{1}{4} ), the slope is calculated to be -0.5.

    • The y-intercept of the function ( f(x) = -\frac{2}{9}x + \frac{1}{3} ) is found to be ( \frac{1}{3} ).

    • Nolan’s plotted line with a y-intercept of (0, 3) and a slope of 2 is again defined by the equation ( y = 2x + 3 ).

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    Description

    Test your understanding of the slope-intercept form of a line with this quiz. Each flashcard presents scenarios and questions that challenge your knowledge of linear functions. Perfect for students learning algebra concepts.

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