Finding A Slope Given Two Points

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Vilenatas

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Quizzes Created: 1 | Total Attempts: 10,261

Questions: 7 | Attempts: 10,269 | Updated: Apr 19, 2024

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$Finding A Slope Given Two Points - Quiz$

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. 0

Explanation
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.

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19
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. Undefined

Explanation
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.

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11
3.

The slope of the line passing through the points (1,4), (-7,4) is ___________.

Correct Answer
horizontal, 0

Explanation
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.

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9
4
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. 1/2

Explanation
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.

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9
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. -4/3

Explanation
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.

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5
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. 1

Explanation
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.

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13
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. 2/7

Explanation
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.

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7

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Current Version
Apr 19, 2024

Quiz Edited by
ProProfs Editorial Team
Mar 25, 2010

Quiz Created by
Vilenatas

Finding A Slope Given Two Points

Find the slope of the line passing through the points (2,1), (0,1).

Find the slope of the line passing through the points (2,5), (2,8).

The slope of the line passing through the points (1,4), (-7,4) is ___________.

What is the slope of the line passing through the points (4,2), (8,4)?

Find the slope of the line passing through the points (-6,2), (0,-6).

Find the slope of the line passing through the points (-3,-3), (2,2).

Find the slope of the line passing through the points (5,-1), (-2,-3).