What is the slope of the line represented by the equation $$y = -\frac{1}{2}x + 4$$ ?

The slope is $$-\frac{1}{2}$$ .

What does a positive slope indicate about a line?

A positive slope indicates that as $$x$$ increases, $$y$$ also increases, meaning the line rises from left to right.

What does a negative slope indicate about a line?

A negative slope indicates that as $$x$$ increases, $$y$$ decreases, meaning the line falls from left to right.

How can you determine if two lines are parallel?

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

What is the equation of a line that is vertical?

The equation of a vertical line is of the form $$x = a$$ , where $$a$$ is a constant.

What is the equation of a line that is horizontal?

The equation of a horizontal line is of the form $$y = b$$ , where $$b$$ is a constant.

How do you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the graph, and use the slope to find another point.

What is the significance of the point (0, b) in a linear equation?

The point (0, b) is the y-intercept, where the line crosses the y-axis.

What is the relationship between the slopes of perpendicular lines?

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

Graph Linear Equations

Graph Linear equations

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.6, 8.EE.B.5, 8.F.A.3

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

What is the meaning of the y-intercept in a graph?

Back

FLASHCARD QUESTION

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

FLASHCARD QUESTION

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.5

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