Point Slope Trivia Quiz
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Point slope is the calculation of gradient of a line at en exact point within the line. The point slope quiz below consists of five simple questions to test and advance your knowledge on the subject.
- 1.
What is the equation of the line that has a slope of 1/4 and passes through the point (5, -2)?
- A.
Y = 1/4x - 2
- B.
Y = 1/4x + 3/4
- C.
Y = 1/4x - 13/4
Correct Answer
C. Y = 1/4x - 13/4Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is given as 1/4. We can substitute this value into the equation as m to get y = 1/4x + b. To find the value of b, we can use the given point (5, -2). By substituting x = 5 and y = -2 into the equation, we can solve for b. After substituting the values, we get -2 = 1/4(5) + b. Simplifying the equation gives us -2 = 5/4 + b. By rearranging the equation, we find b = -2 - 5/4 = -8/4 - 5/4 = -13/4. Therefore, the equation of the line is y = 1/4x - 13/4.Rate this question:
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- 2.
What is the equation in point slope form given the slope is 6 and goes through the point (-4,-16).
- A.
Y - 16. = 6(x - 4)
- B.
Y + 16 = 6( x +4)
- C.
Y - 4 = 6(x - 16)
- D.
Y + 4 = 6(x +16)
Correct Answer
B. Y + 16 = 6( x +4)Explanation
The equation in point slope form is y + 16 = 6(x + 4). This is because the point slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the slope is 6 and the point is (-4, -16), so the equation becomes y - (-16) = 6(x - (-4)), which simplifies to y + 16 = 6(x + 4).Rate this question:
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- 3.
What is the equation of the line that has a slope of -2/3 and passes through the point (6, 1)?
- A.
Y = -2/3 x + 1
- B.
Y = -2/3 + 5
- C.
Y = -2/3 x + 6
Correct Answer
B. Y = -2/3 + 5Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -2/3. The line passes through the point (6, 1), so we can substitute these coordinates into the equation to solve for b. Plugging in the values, we get 1 = (-2/3)(6) + b. Simplifying, we find b = 5. Therefore, the equation of the line is y = -2/3x + 5.Rate this question:
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- 4.
What is the equation of the line that has a slope of -4/7 and passes through the point (0, -3)?
- A.
Y = -4/7x - 3
- B.
Y = -4/7x + 17/7
- C.
Y = -4/7 - 25/7
Correct Answer
A. Y = -4/7x - 3Explanation
The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -4/7. The point (0, -3) is given, which represents the y-intercept. Therefore, the equation of the line can be written as y = -4/7x - 3.Rate this question:
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- 5.
What is the equation of the line with a slope of -3 and passes through the point (-1, 3)
- A.
Y - 3 = -3(x -1)
- B.
Y-3 = -3x +1
- C.
Y - 3 = -3x + 3
Correct Answer
C. Y - 3 = -3x + 3Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the slope is -3 and the line passes through the point (-1, 3). Plugging these values into the point-slope form equation, we get y - 3 = -3(x - 1). Simplifying this equation gives us y - 3 = -3x + 3, which matches the given answer.Rate this question:
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Current Version
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Jan 06, 2025Quiz Edited by
ProProfs Editorial Team -
Feb 20, 2014Quiz Created by
Jlaw