If the graph of the function $$y = f(x)$$ contains the point (6, -7), what does this imply about the function?

It implies that $$f(6) = -7$$ .

Convert the equation $$2x + 3y = 12$$ to slope-intercept form.

The slope-intercept form is $$y = -\frac{2}{3}x + 4$$ .

What does it mean if a function is linear?

A linear function has a constant rate of change and can be represented by a straight line.

What is the significance of the point (0, b) in a linear function?

It represents the y-intercept of the function.

How do you determine the slope from two points (x1, y1) and (x2, y2)?

The slope is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

If a function has a slope of 0, what does this indicate about the graph?

It indicates that the graph is a horizontal line.

What is the relationship between the slope and the steepness of a line?

A larger absolute value of the slope indicates a steeper line.

How can you identify a linear function from a table of values?

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, it is linear.

What does it mean for a function to be increasing or decreasing?

A function is increasing if its slope is positive and decreasing if its slope is negative.

Algebra: 3.3-3.6 Assessment Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The y-intercept is -3.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

The slope is 1 and the y-intercept is 3.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function.

6.

FLASHCARD QUESTION

Front

How do you find the y-intercept from a linear equation?

Back

7.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

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