This Quiz Will Test Your Knowledge Of Slope.
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This quiz evaluates your understanding of slope in algebra, including concepts like trend lines, slope calculations, and comparisons of line steepness.
- 1.
What is a trend line?
- A.
A line that intersects every point on the graph.
- B.
A line that represents a set of data but does not intersect all the points.
Correct Answer
B. A line that represents a set of data but does not intersect all the points.Explanation
A trend line is a line that represents a set of data but does not intersect all the points. It is used to show the general direction or trend of the data and is often used in statistical analysis to make predictions or identify patterns. The line is drawn in a way that minimizes the distance between the line and the data points, providing a visual representation of the relationship between the variables being studied.Rate this question:
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- 2.
What is slope?
- A.
A measure of the steepness of a line; compares the vertical distance to the horizontal distance.
- B.
A measure of how long the line is
- C.
The horizontal change compared to the vertical change
- D.
Change in x over a change in y
Correct Answer
A. A measure of the steepness of a line; compares the vertical distance to the horizontal distance.Explanation
Slope is a measure of the steepness of a line and is determined by comparing the vertical distance to the horizontal distance. It indicates how much the line is rising or falling as it moves horizontally. The greater the slope, the steeper the line. The correct answer accurately describes slope as a measure of steepness and the comparison between vertical and horizontal distances.Rate this question:
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- 3.
What is the slope of the line?
- A.
-3/2
- B.
3
- C.
2/3
- D.
3/2
Correct Answer
D. 3/2Explanation
Pick any two points (4,4) (6,7) (8,10) Each time you go over 2 you rise up 3. So rise over run.... 3/2.Rate this question:
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- 4.
What is the slope of the line?
- A.
-1
- B.
-2
- C.
2
- D.
-3
Correct Answer
B. -2Explanation
The slope of a line represents the rate at which the line is rising or falling. In this case, the correct answer is -2, which means that for every increase of 1 unit on the x-axis, the line will decrease by 2 units on the y-axis. The negative sign indicates that the line is sloping downwards from left to right.Rate this question:
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- 5.
What is the change in x?
- A.
5
- B.
3
- C.
2
- D.
-2
Correct Answer
A. 5 -
- 6.
What is the change in y?
- A.
5
- B.
3
- C.
2
- D.
-2
Correct Answer
B. 3Explanation
The change in y is 3 because it is the difference between the last given value of y (2) and the previous value of y (5).Rate this question:
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- 7.
Which line is steeper?
- A.
Y = 5x
- B.
Y = .5x
Correct Answer
A. Y = 5xExplanation
The bigger the number the steeper the line.Rate this question:
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- 8.
Which line is steeper?
- A.
Y = 20x
- B.
Y = 15x
Correct Answer
A. Y = 20xExplanation
The bigger the number the steeper the line.Rate this question:
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- 9.
Which direction does a line slope if the slope is negative?
- A.
It slopes up
- B.
It slopes down
- C.
It is a horizontal line
- D.
It is a vertical line
Correct Answer
B. It slopes downExplanation
When the slope of a line is negative, it means that the line is decreasing as it moves from left to right. In other words, the line is sloping downwards. This can be visualized as a line that starts at a higher point on the y-axis and gradually decreases as it moves towards higher values on the x-axis. Therefore, the correct answer is "it slopes down."Rate this question:
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- 10.
What is the slope of the line y = 9x + 4?
- A.
4
- B.
4/9
- C.
9/4
- D.
9
Correct Answer
D. 9Explanation
Slope is the m in the equation mx + b..... so 9 is the slope.Rate this question:
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- 11.
What is the y-intercept (starting value) of the line y = -3x - 7?
- A.
3
- B.
7
- C.
-7
- D.
-3
Correct Answer
C. -7Explanation
y-intercept is your b value or always the number that follows the x.Rate this question:
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- 12.
Which is true about the slope of a line?
- A.
It is constant, the same slope for the whole line
- B.
It can change throughout the line
Correct Answer
A. It is constant, the same slope for the whole lineExplanation
The correct answer is "it is constant, the same slope for the whole line." This means that the slope of a line does not change as you move along the line. It remains constant and consistent throughout the entire line.Rate this question:
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Current Version
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Dec 27, 2024Quiz Edited by
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Feb 16, 2009Quiz Created by
Jdickhans