# Slope, Intercepts And Parameter Changes Quiz

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| By Cynthiasantana
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Cynthiasantana
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Quizzes Created: 2 | Total Attempts: 1,200
Questions: 10 | Attempts: 398

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This quiz will test slope, intercepts and parameter changes.

• 1.

### Determine the slope of the line.

• A.

3/4

• B.

-3/4

• C.

4/3

• D.

-4/3

C. 4/3
Explanation
The slope of a line can be determined by comparing the change in the y-coordinate to the change in the x-coordinate between any two points on the line. In this case, the slope is 4/3 because for every 4 units that the y-coordinate increases, the x-coordinate increases by 3 units.

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• 2.

### Identify the x-intercept of the line.

• A.

(0, -2)

• B.

(-2, 0)

• C.

(0, -3)

• D.

(-3, 0)

B. (-2, 0)
Explanation
The x-intercept of a line is the point where the line intersects the x-axis. In this case, the x-intercept is the point (-2, 0) because it is the only point given where the y-coordinate is 0, indicating that the line crosses the x-axis at that point.

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• 3.

### Identify the y-intercept.

• A.

(2, 0)

• B.

(-3, 0)

• C.

(0, -3)

• D.

(0, 2)

D. (0, 2)
Explanation
The y-intercept is the point where the graph of a function intersects the y-axis. In this question, the point (0, 2) is the only option that lies on the y-axis. Therefore, it represents the y-intercept of the function.

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• 4.

### Identify the x-intercept in the table.

• A.

(0, -1)

• B.

(-0.5, 0)

• C.

(1, -3)

• D.

(-1, 1)

B. (-0.5, 0)
Explanation
The x-intercept is the point where the graph of a function crosses the x-axis. In this table, the x-intercept occurs when the y-coordinate is 0. The only point with a y-coordinate of 0 is (-0.5, 0), so it is the x-intercept.

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• 5.

### Determine the y-intercept from the table.

• A.

(-3,0)

• B.

(3, 6)

• C.

(6, 9)

• D.

(0, 3)

D. (0, 3)
Explanation
The y-intercept is the point where the graph of a function intersects the y-axis. In other words, it is the value of y when x is equal to 0. Looking at the table, we can see that when x is 0, y is 3. Therefore, the y-intercept is (0, 3).

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• 6.

### The y-intercept of the function y=3x + 4 is the point (0, 4).

• A.

True

• B.

False

A. True
Explanation
The y-intercept of a function is the point where the graph of the function intersects the y-axis. In the given function y=3x + 4, when x is 0, the equation becomes y=3(0) + 4, which simplifies to y=4. Therefore, the y-intercept of the function is the point (0, 4).

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• 7.

### What is the slope and y-intercept of the function y= -5x - 2?

• A.

M= -2 and b= -5

• B.

M = -5 and b = -2

• C.

M = 1 and b = -5

• D.

M = -2 and b = 1

B. M = -5 and b = -2
Explanation
The slope-intercept form of a linear function is y = mx + b, where m represents the slope and b represents the y-intercept. In the given function y = -5x - 2, the coefficient of x (-5) represents the slope and the constant term (-2) represents the y-intercept. Therefore, the correct answer is m = -5 and b = -2.

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• 8.

### If you double the slope of the function y=2x + 4, what effect will it have on the line?

• A.

The line will become less steep.

• B.

The line will shift up two.

• C.

The line will become more steep.

• D.

The line will shift down two.

C. The line will become more steep.
Explanation
If you double the slope of the function y=2x + 4, it means that the coefficient of x, which represents the slope, will be multiplied by 2. This will result in a steeper line because the slope determines how steep or flat the line is. Doubling the slope will make the line increase more rapidly as x increases, causing it to become more steep.

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• 9.

### Which of the following functions is the steepest line? y = 2x y = 1/2x y = 4x y = 0.25x

• A.

Y = 2x

• B.

Y = 1/2x

• C.

Y = 4x

• D.

Y = 0.25x

C. Y = 4x
Explanation
The function y = 4x is the steepest line because the coefficient of x is the largest among all the given functions. The greater the coefficient of x, the steeper the line.

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• 10.

### Changing the linear parent function y = x to y = x - 4 will shift the line down four units.

• A.

True

• B.

False

A. True
Explanation
When a linear parent function y = x is changed to y = x - 4, it means that the y-coordinate of every point on the graph is reduced by 4 units. This results in shifting the entire line down by 4 units. Therefore, the statement "Changing the linear parent function y = x to y = x - 4 will shift the line down four units" is true.

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Oct 10, 2013
Quiz Created by
Cynthiasantana

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