What is a trend line?

a line that represents a set of data but does not intersect all the points.

a line that intersects every point on the graph.

a measure of the steepness of a line; compares the vertical distance to the horizontal distance.

a measure of how long the line is

the horizontal change compared to the vertical change

Which is true about the slope of a line?

it is constant, the same slope for the whole line

it can change throughout the line

This Quiz Will Test Your Knowledge Of Slope.

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| By Jdickhans

Jdickhans

Community Contributor

Quizzes Created: 1 | Total Attempts: 1,529

Questions: 12 | Attempts: 1,530 | Updated: Mar 21, 2023

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Questions and Answers

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.

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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.

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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. 3/2

Explanation
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.

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4.

What is the slope of the line?
- A.
  
  -1
- B.
  
  -2
- C.
  
  2
- D.
  
  -3
Correct Answer
B. -2

Explanation
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.

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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. 3

Explanation
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).

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7.

Which line is steeper?
- A.
  
  Y = 5x
- B.
  
  Y = .5x
Correct Answer
A. Y = 5x

Explanation
The bigger the number the steeper the line.

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8.

Which line is steeper?
- A.
  
  Y = 20x
- B.
  
  Y = 15x
Correct Answer
A. Y = 20x

Explanation
The bigger the number the steeper the line.

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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 down

Explanation
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."

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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. 9

Explanation
Slope is the m in the equation mx + b..... so 9 is the slope.

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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. -7

Explanation
y-intercept is your b value or always the number that follows the x.

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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 line

Explanation
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.

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