Finding A Slope Given Two Points
This quiz is designed to assess if you know how to find a slope given two points on a line. You will also be assessed on steepness of a given slope and horizontal and undefined slopes.
Questions and Answers
- 1.
Find the slope of the line passing through the points (2,1), (0,1).
- A.
0
- B.
1
- C.
1/2
- D.
2/1
- E.
-1
Correct Answer
A. 0Explanation
The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the points are (2,1) and (0,1). Plugging these values into the formula, we get (1 - 1) / (0 - 2) = 0/(-2) = 0. Therefore, the slope of the line passing through these points is 0.Rate this question:
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- 2.
Find the slope of the line passing through the points (2,5), (2,8).
- A.
1/2
- B.
-3
- C.
-1/2
- D.
2
- E.
Undefined
Correct Answer
E. UndefinedExplanation
The slope of a line passing through two points is found using the formula (y2 - y1) / (x2 - x1). In this case, the x-coordinates of both points are the same (2), which means the denominator of the formula would be 0. Division by zero is undefined in mathematics, so the slope of the line passing through these points is also undefined.Rate this question:
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- 3.
The slope of the line passing through the points (1,4), (-7,4) is ___________.
Correct Answer
horizontal, 0Explanation
The slope of a line is determined by the change in y-coordinates divided by the change in x-coordinates between two points on the line. In this case, both points have the same y-coordinate of 4, indicating that there is no change in the y-coordinate. Therefore, the change in y-coordinates is 0. Since any number divided by 0 is undefined, the slope of the line passing through these points is undefined. In terms of slope types, a line with an undefined slope is considered to be vertical, not horizontal. Therefore, the given answer of "horizontal" is incorrect.Rate this question:
- 4.
What is the slope of the line passing through the points (4,2), (8,4)?
- A.
-1/2
- B.
2
- C.
8
- D.
1/2
- E.
-4
Correct Answer
D. 1/2Explanation
The slope of a line passing through two points can be found using the formula (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. In this case, the coordinates are (4,2) and (8,4). Plugging these values into the formula, we get (4-2)/(8-4) = 2/4 = 1/2. Therefore, the slope of the line passing through these points is 1/2.Rate this question:
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- 5.
Find the slope of the line passing through the points (-6,2), (0,-6).
- A.
-6
- B.
2
- C.
-4/3
- D.
0
- E.
-3/1
Correct Answer
C. -4/3Explanation
The slope of a line passing through two points can be found using the formula: slope = (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (-6,2) and (0,-6). Plugging these values into the formula, we get: slope = (-6 - 2) / (0 - (-6)) = -8 / 6 = -4/3. Therefore, the correct answer is -4/3.Rate this question:
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- 6.
Find the slope of the line passing through the points (-3,-3), (2,2).
- A.
-3
- B.
3
- C.
2
- D.
-2
- E.
1
Correct Answer
E. 1Explanation
The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (-3,-3) and (2,2). Plugging these values into the formula, we get (2 - (-3)) / (2 - (-3)) = 5 / 5 = 1. Therefore, the slope of the line passing through these points is 1.Rate this question:
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- 7.
Find the slope of the line passing through the points (5,-1), (-2,-3).
- A.
2/7
- B.
-5/2
- C.
-1
- D.
-2/7
- E.
-3
Correct Answer
A. 2/7Explanation
To find the slope of a line passing through two points, we use the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (5, -1) and (-2, -3). Plugging these values into the formula, we get (-3 - (-1)) / (-2 - 5) = -2 / -7 = 2/7. Therefore, the slope of the line passing through these points is 2/7.Rate this question:
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Current Version
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Apr 19, 2024Quiz Edited by
ProProfs Editorial Team -
Mar 25, 2010Quiz Created by
Vilenatas
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