What is the slope of a line parallel to the line represented by the equation $$y = 2x + 3$$ ?

The slope of a line parallel to $$y = 2x + 3$$ is 2.

What is the slope of a line perpendicular to a line with slope $$m = \frac{3}{4}$$ ?

The slope of a line perpendicular to $$m = \frac{3}{4}$$ is $$-\frac{4}{3}$$ .

Write the equation of a line that passes through the point (3, 1) and is parallel to the line $$y = 2x + 3$$ .

The equation is $$y = 2x - 5$$ .

What is the slope of the line represented by the equation $$y = -\frac{1}{4}x + 12$$ ?

The slope is $$-\frac{1}{4}$$ .

Write the equation of a line that passes through the point (7, 10) and is perpendicular to the line $$y = \frac{1}{2}x - 9$$ .

The equation is $$y = -2x + 24$$ .

What is the slope of a line parallel to the line represented by the equation $$y = -\frac{5}{2}x + 10$$ ?

The slope is $$-\frac{5}{2}$$ .

Write the equation of a line that passes through the point (3, 1) and is parallel to the line $$y = -\frac{5}{2}x + 10$$ .

The equation is $$y = -\frac{5}{2}x + \frac{17}{2}$$ .

What is the general form of the equation of a line?

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

What does it mean for two lines to be parallel?

Two lines are parallel if they have the same slope and never intersect.

What is the relationship between the slopes of two perpendicular lines?

The slopes of two perpendicular lines are negative reciprocals of each other.

If a line has a slope of 0, what does that indicate about the line?

A line with a slope of 0 is horizontal.

If a line has an undefined slope, what does that indicate about the line?

A line with an undefined slope is vertical.

Unit 8 Flashcard #1 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

Front

Back

The slope is 4.

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

Front

Back

Yes, they are perpendicular.

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