Approved & Edited byProProfs Editorial Team The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes. Learn about Our Editorial Process A Albert Melchor Community Contributor Quizzes Created: 17|Total Attempts: 12,615
Questions: 5|Attempts: 244|Updated: Mar 19, 2023
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).
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A.
Y ‒ 7 = 3(x ‒ 4)
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B.
Y + 7 = 3(x + 4)
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C.
Y + 4 = 3(x + 7)
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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.Rate this question:
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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).
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A.
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B.
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C.
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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).
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A.
Y ‒ 0 = 0(x ‒ 0)
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B.
Y + 2 = 0(x + 2)
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C.
Y ‒ 2 = 0(x ‒ 2)
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D.
Not here
Correct Answer
D. Not hereExplanation
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).Rate this question:
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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).
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A.
Y = ‒x + 1
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B.
Y = 2x + 1
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C.
Y = ‒3x +1
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D.
Not here
Correct Answer
C. Y = ‒3x +1Explanation
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.Rate this question:
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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).
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A.
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B.
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C.
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D.
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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.Rate this question:
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Current Version
Mar 19, 2023
Quiz Edited by
ProProfs Editorial TeamNov 05, 2014
Quiz Created by
Albert Melchor
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