What does the slope of a linear function represent?

The slope of a linear function represents the rate of change of the function; it indicates how much $$y$$ changes for a unit change in $$x$$ .

What is the y-intercept in a linear function?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the equation $$y = mx + b$$ .

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

A function is linear if its graph is a straight line. If the graph curves or has bends, it is non-linear.

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

A linear equation has a degree of 1 and graphs as a straight line, while a quadratic equation has a degree of 2 and graphs as a parabola.

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants and @@a eq 0@@.

Can a linear function have a negative slope?

Yes, a linear function can have a negative slope, which indicates that as $$x$$ increases, $$y$$ decreases.

What is the significance of the coefficients in a linear equation?

The coefficients in a linear equation determine the slope and the y-intercept, affecting the steepness and position of the line on the graph.

Identifying Linear Functions - Equations Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

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. It can include quadratic, cubic, exponential, and other types of functions.

3.

FLASHCARD QUESTION

Front

Back

Non-Linear

4.

FLASHCARD QUESTION

Front

Back

Non-Linear

5.

FLASHCARD QUESTION

Front

Back

Linear

6.

FLASHCARD QUESTION

Front

Back

Non-Linear

7.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

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