Slope Quiz Level 1

Approved & Edited by ProProfs 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

| By Annacabral

Annacabral

Community Contributor

Quizzes Created: 29 | Total Attempts: 20,211

Questions: 7 | Attempts: 279 | Updated: Mar 21, 2023

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Play as

Quiz Flashcard

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Questions and Answers

1.

Find the slope of the line containing points (5, 3) and (2, 1)
- A.
  
  2/3
- B.
  
  -2/3
- C.
  
  3/2
- D.
  
  -3/2
Correct Answer
A. 2/3

Explanation
To find the slope of a line, we 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 (5, 3) and (2, 1). Plugging these values into the formula, we get (1 - 3) / (2 - 5), which simplifies to -2 / -3. Simplifying further, we get 2/3. Therefore, the slope of the line is 2/3.

Rate this question:
2.

Find the slope of the line containing points (4, 1) and (1, 0).
- A.
  
  1/3
- B.
  
  -1/3
- C.
  
  3
- D.
  
  -3
Correct Answer
C. 3

Explanation
The slope of a line can be found using 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 (4, 1) and (1, 0). Plugging these values into the formula, we get (0 - 1) / (1 - 4) = -1 / -3 = 1/3. However, the given answer is 3, which is incorrect.

Rate this question:
3.

Find the slope of the line containing points (5, 2) and (3, 4)
- A.
  
  1
- B.
  
  -1
- C.
  
  2
- D.
  
  -2
Correct Answer
B. -1

Explanation
The slope of a line can be found using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Plugging in the given coordinates, we get (4 - 2) / (3 - 5) = -2 / -2 = 1. Therefore, the slope of the line containing the points (5, 2) and (3, 4) is 1.

Rate this question:
4.

Find the slope of the line containing points (8, 5) and (6, 1).
- A.
  
  -2
- B.
  
  2
- C.
  
  -1/2
- D.
  
  1/2
Correct Answer
B. 2

Explanation
The slope of a line can be found using 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 (8, 5) and (6, 1). Plugging these values into the formula, we get (1 - 5) / (6 - 8) = -4 / -2 = 2. Therefore, the slope of the line is 2.

Rate this question:
5.

Find the slope of the line containing points (6, 8) and (2, 10)
- A.
  
  2
- B.
  
  -2
- C.
  
  1/2
- D.
  
  -1/2
Correct Answer
D. -1/2

Explanation
The slope of a line can be found using 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 (6, 8) and (2, 10). Plugging these values into the formula, we get (10 - 8) / (2 - 6) = 2 / -4 = -1/2. Therefore, the slope of the line is -1/2.

Rate this question:
6.

Find the slope of the line containing points (4, 5) and (1, 5)
- A.
  
  0
- B.
  
  Undefined
Correct Answer
A. 0

Explanation
The slope of a line is calculated by finding the difference in the y-coordinates and dividing it by the difference in the x-coordinates of two points on the line. In this case, the y-coordinates of both points are the same (5), so the difference in the y-coordinates is 0. The x-coordinates of the two points are 4 and 1, so the difference in the x-coordinates is 3. Dividing 0 by 3 gives a slope of 0.

Rate this question:
7.

Find the slope of the line containing points (4, 5) and (4, 1).
- A.
  
  0
- B.
  
  Undefined
Correct Answer
B. Undefined

Explanation
The slope of a line is calculated using the formula (change in y)/(change in x). In this case, the x-coordinate of both points is the same (4), which means there is no change in x. When there is no change in x, the denominator becomes zero, resulting in an undefined value for the slope. Therefore, the correct answer is undefined.

Rate this question: