What does it mean for two lines to be parallel?

Two lines are parallel if they have the same slope but different y-intercepts.

What is the zero of a function?

The zero of a function is the value of $$x$$ for which $$f(x)=0$$ . It represents the x-intercept of the graph.

How do you translate the graph of a function 3 units up?

To translate the graph of a function 3 units up, add 3 to the y-value in the equation. For example, $$y=mx+b$$ becomes $$y=mx+(b+3)$$ .

What is the general form of a linear equation?

The general form of a linear equation is $$y=mx+b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What does a slope of 0 indicate about a line?

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

What is the relationship between the slopes of perpendicular lines?

The slopes of perpendicular lines are negative reciprocals of each other. If one line has a slope of $$m$$ , the other will have a slope of $$-\frac{1}{m}$$ .

How can you determine if a graph is increasing or decreasing?

A graph is increasing if the slope is positive (rising from left to right) and decreasing if the slope is negative (falling from left to right).

What is the significance of the y-intercept in real-world applications?

In real-world applications, the y-intercept often represents the starting value or initial condition of a situation being modeled.

2 Graphing Linear Functions and Intercepts Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

2.

FLASHCARD QUESTION

Front

What does it mean for a graph to be translated vertically?

Back

3.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear function?

Back

4.

FLASHCARD QUESTION

Front

How do you find the x-intercept of a linear function?

Back

5.

FLASHCARD QUESTION

Front

What is the equation of a line parallel to the y-axis?

Back

6.

FLASHCARD QUESTION

Front

What happens to the slope when a linear function is multiplied by a factor greater than 1?

Back

The slope becomes steeper, indicating a greater rate of change.

7.

FLASHCARD QUESTION

Front

What is the effect of translating a graph 4 units down?

Back

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