What is the slope in the linear equation $$y = mx + b$$ ?

The slope $$m$$ represents the rate of change of the function, indicating how much $$y$$ changes for a unit change in $$x$$ .

What does the y-intercept represent in a linear function?

The y-intercept $$b$$ is the point where the line crosses the y-axis, indicating the value of $$y$$ when $$x = 0$$ .

How can you determine if a function is linear from its equation?

A function is linear if it can be expressed in the form $$y = mx + b$$ , where $$m$$ and $$b$$ are constants, and the highest power of $$x$$ is 1.

What is the general form of a linear equation?

The general form of a linear equation is $$Ax + By + C = 0$$ , where $$A$$ , $$B$$ , and $$C$$ are constants.

What is the difference between a linear and a quadratic function?

A linear function has a degree of 1 (straight line), while a quadratic function has a degree of 2 (parabola) and includes terms like $$x^2$$ .

What is the graph of a linear function?

The graph of a linear function is a straight line that can slope upwards, downwards, or be horizontal.

What is the significance of the slope in real-world applications?

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.

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

A linear function will have a constant rate of change between the values of $$x$$ and $$y$$ in the table.

Identifying Linear Functions - Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

FLASHCARD QUESTION

Front

What is a non-linear function?

Back

A non-linear function is a function that does not form a straight line when graphed. Its equation may involve exponents, roots, or other operations that create curves.

Tags

CCSS.8.F.A.3

3.

FLASHCARD QUESTION

Front

Back

Non-Linear

Tags

CCSS.8.F.A.3

4.

FLASHCARD QUESTION

Front

Back

Linear

Tags

CCSS.8.F.A.3

5.

FLASHCARD QUESTION

Front

Back

Linear

Tags

CCSS.8.F.A.3

6.

FLASHCARD QUESTION

Front

Back

Linear

Tags

CCSS.8.F.A.3

7.

FLASHCARD QUESTION

Front

Back

Non-Linear

Tags

CCSS.8.F.A.3

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