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

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| By Albert Melchor
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Albert Melchor
Community Contributor
Quizzes Created: 17 | Total Attempts: 12,611
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4-7 HW Handout Algebra With Pizzazz P. 159 And P. 160 - Quiz

Due Wednesday, November 5, 2014


Questions and Answers
  • 1. 

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

    • A.

      Y ‒ 7 = 3(x ‒ 4)

    • B.

      Y + 7 = 3(x + 4)

    • C.

      Y + 4 = 3(x + 7)

    • D.

      Not here

    Correct Answer
    B. Y + 7 = 3(x + 4)
    Explanation
    The equation y + 7 = 3(x + 4) is the correct answer because it represents the point-slope form of a line. In this form, the slope of the line is represented by the coefficient of x, which is 3 in this case. The point (‒4, ‒7) is used to determine the y-intercept of the line, which is represented by the constant term in the equation. The equation is consistent with the given slope and passes through the given point, making it the correct answer.

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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).

    • A.
    • B.
    • C.
    • D.

      Not here

    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).

    • A.

      Y ‒ 0 = 0(x ‒ 0)

    • B.

      Y + 2 = 0(x + 2)

    • C.

      Y ‒ 2 = 0(x ‒ 2)

    • D.

      Not here

    Correct Answer
    D. 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, ‒8).

    • A.

      Y = ‒x + 1

    • B.

      Y = 2x + 1

    • C.

      Y = ‒3x +1

    • D.

      Not here

    Correct Answer
    C. 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).

    • A.
    • B.
    • C.
    • D.
    • E.

      Not here

    Correct Answer
    D.
    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
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    Albert Melchor
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