Slope, Intercepts And Parameter Changes Quiz

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

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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About This Quiz
Slope, Intercepts And Parameter Changes Quiz - Quiz

This quiz assesses understanding of linear equations, focusing on determining slopes, x-intercepts, and y-intercepts, both from equations and tables. It enhances skills in analyzing the effects of parameters... see moreon line equations, crucial for algebra students. see less

2. What is the slope and y-intercept of the function y= -5x - 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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3. If you double the slope of the function y=2x + 4, what effect will it have on the line?

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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4. Determine the slope of the line.

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

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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6. Identify the y-intercept.

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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7. Determine the y-intercept from the table.

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

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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9. I dentify the x-intercept of the line.

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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10. Identify the x-intercept in the table.

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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Changing the linear parent function y = x to y = x - 4 will shift the...
What is the slope and y-intercept of the function y= -5x - 2?
If you double the slope of the function y=2x + 4, what effect will it...
Determine the slope of the line.
The y-intercept of the function y=3x + 4 is the point (0, 4).
Identify the y-intercept.
Determine the y-intercept from the table.
Which of the following functions is the steepest line? ...
I dentify the x-intercept of the line.
Identify the x-intercept in the table.
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