What is the y-intercept of the equation $$y = -4 - 5x$$ ?

The y-intercept is the point (0, -4). This is found by setting $$x = 0$$ in the equation.

What is the slope of the function $$f(x) = x + 3$$ ?

The slope of the function is 1, as it is the coefficient of $$x$$ in the equation.

How do you find the slope from two points on a line?

The slope can be calculated using the formula $$m = \frac{{y_2 - y_1}}{{x_2 - x_1}}$$ , where $$(x_1, y_1)$$ and $$(x_2, y_2)$$ are the coordinates of the two points.

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 significance of the coefficients in a linear equation?

The coefficients in a linear equation determine the slope and the y-intercept of the line. The coefficient of $$x$$ represents the slope, while the constant term represents the y-intercept.

What is the graphical representation of the equation $$y = 2$$ ?

The graph of the equation $$y = 2$$ is a horizontal line that crosses the y-axis at the point (0, 2).

How can you identify the y-intercept from a graph?

The y-intercept can be identified as the point where the graph intersects the y-axis.

What is the difference between a function and a relation?

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). In contrast, a relation can have multiple outputs for a single input.

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

A function is increasing if the y-values rise as the x-values increase, and it is decreasing if the y-values fall as the x-values increase.

What is the importance of understanding linear functions in real life?

Understanding linear functions is important as they are used to model relationships in various fields such as economics, physics, and social sciences, allowing for predictions and analysis.

Algebra: 3.3-3.6 Assessment Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

2.

FLASHCARD QUESTION

Front

What is the slope of a line?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

How can you determine if an equation is linear?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function that does not form a straight line when graphed. It may include variables raised to powers other than one, products of variables, or other non-linear operations.

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