What is the x-intercept of the line $$y = 4x - 8$$ ?

The x-intercept is the point where the line crosses the x-axis, which occurs when $$y = 0$$ . Solving $$0 = 4x - 8$$ gives $$x = 2$$ , so the x-intercept is the point (2, 0).

Describe the graph of $$y = -x$$ .

The graph of $$y = -x$$ is a line with a negative slope that passes through the origin (0, 0).

How do you determine the y-intercept of a linear equation?

The y-intercept is found by setting $$x = 0$$ in the equation and solving for $$y$$ .

What does the slope of a line represent in a real-world context?

The slope represents the rate of change between the two variables represented by the axes.

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.

How can you identify a linear function from a set of points?

A set of points represents a linear function if the points lie on a straight line when graphed.

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

In the equation $$y = mx + b$$ , $$m$$ represents the slope of the line, indicating how steep the line is and the direction it goes.

What does the term 'intercept' refer to in graphing?

The intercept refers to the points where the graph crosses the axes: the x-intercept (where $$y = 0$$ ) and the y-intercept (where $$x = 0$$ ).

How do you graph a linear equation?

To graph a linear equation, find the x- and y-intercepts, plot them on a coordinate plane, and draw a straight line through these points.

What is the relationship between the slopes of parallel lines?

Parallel lines have the same slope but different y-intercepts.

Graphing Linear Functions Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What does the graph of a linear function with a slope of 0 look like?

Back

A linear function with a slope of 0 is represented by a horizontal line.

4.

FLASHCARD QUESTION

Front

Back

The graph is a straight line that passes through the point (0, 1) with a slope of 2.

5.

FLASHCARD QUESTION

Front

How do you find the equation of a linear function given two points, such as (1, 5) and (3, 9)?

Back

6.

FLASHCARD QUESTION

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

7.

FLASHCARD QUESTION

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

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