4-7 HW Handout Algebra With Pizzazz P. 159 And P. 160

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Albert Melchor
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  • 1/5 Questions

    #4, p. 159.Write the equation in point-slope form of the line with slope 3 and passing through (‒4, â€’7).

    • Y ‒ 7 = 3(x ‒ 4)
    • Y + 7 = 3(x + 4)
    • Y + 4 = 3(x + 7)
    • Not here
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4-7 HW Handout Algebra With Pizzazz P. 159 And P. 160 - Quiz
About This Quiz

This handout for Algebra with Pizzazz, pages 159 and 160, assesses understanding of writing equations in point-slope and slope-intercept forms. Questions involve calculating equations of lines given points and slopes, enhancing algebraic skills and preparing learners for advanced mathematical concepts.

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  • 2. 
    #7, p. 159.Write the equation in point-slope form of the line with slope  and passing through (3, 4). - ProProfs

    #7, p. 159.Write the equation in point-slope form of the line with slope  and passing through (3, 4).

    Correct Answer
    A.
  • 3. 

    #11, p. 159.Write the equation in point-slope form of the line with slope ‒2 and passes through (0, 0).

    • Y ‒ 0 = 0(x ‒ 0)

    • Y + 2 = 0(x + 2)

    • Y ‒ 2 = 0(x ‒ 2)

    • Not here

    Correct Answer
    A. Not here
    Explanation
    The given equation in point-slope form is y - 2 = 0(x - 2). This equation represents a line with a slope of 0 and passes through the point (2, 2).

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  • 4. 

    #2, p. 160Find the equation in slope-intercept form of the line that passing through (0, 1) and (3, â€’8).

    • Y = ‒x + 1

    • Y = 2x + 1

    • Y = ‒3x +1

    • Not here

    Correct Answer
    A. Y = ‒3x +1
    Explanation
    The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. To find the slope, we can use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, the coordinates are (0, 1) and (3, -8). Plugging these values into the formula, we get (-8 - 1) / (3 - 0) = -9 / 3 = -3. So the slope of the line is -3. Since the line passes through the point (0, 1), we can substitute these values into the equation and solve for the y-intercept b. Plugging in x = 0 and y = 1, we get 1 = -3(0) + b, which simplifies to b = 1. Therefore, the equation of the line is y = -3x + 1.

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  • 5. 

    #7, p. 160Find the equation in slope-intercept form of the line that passing through (4, 1) and (‒4, 7).

    Correct Answer
    A.
    Explanation
    The equation in slope-intercept form of a line can be found using the formula y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Plugging in the values (4, 1) and (-4, 7), we get a slope of -6/8 or -3/4. To find the y-intercept, we can substitute the slope and one set of coordinates into the slope-intercept form equation and solve for b. Using the point (4, 1), we get 1 = (-3/4)(4) + b, which simplifies to 1 = -3 + b. Solving for b, we get b = 4. Therefore, the equation in slope-intercept form is y = (-3/4)x + 4.

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  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 05, 2014
    Quiz Created by
    Albert Melchor
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