Slope Quiz Level 1

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| By Annacabral

Annacabral

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Quizzes Created: 29 | Total Attempts: 20,934

| Attempts: 281

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1/7 Questions

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

About This Quiz

Slope Quiz Level 1 assesses understanding of slope calculation from given points. Students identify slopes from pairs of coordinates, enhancing their skills in algebraic concepts relevant to real-world applications.

2.

Find the slope of the line containing points (4, 5) and (1, 5)
- 0
- 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.

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3.

Find the slope of the line containing points (5, 3) and (2, 1)
- 2/3
- -2/3
- 3/2
- -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.

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4.

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

A. 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.

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5.

Find the slope of the line containing points (5, 2) and (3, 4)
- 1
- -1
- 2
- -2
Correct Answer

A. -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.

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6.

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

A. -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.

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7.

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

A. 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.

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