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

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

What is the slope of a line that is parallel to $$m=-\frac{1}{4}$$ ?

The slope of a line that is parallel to $$m=-\frac{1}{4}$$ is also $$m=-\frac{1}{4}$$ .

If the slope of one line is $$m=\frac{1}{4}$$ , what is the slope of a line parallel to it?

The slope of a line parallel to it is also $$m=\frac{1}{4}$$ .

If a line has a slope of $$m=3$$ , what is the slope of a line perpendicular to it?

The slope of a line perpendicular to it is $$m=-\frac{1}{3}$$ .

If two lines have slopes $$m_1$$ and $$m_2$$ , when are they parallel?

They are parallel if $$m_1 = m_2$$ .

If two lines have slopes $$m_1$$ and $$m_2$$ , when are they perpendicular?

They are perpendicular if $$m_1 \times m_2 = -1$$ .

What is the slope of a line that is perpendicular to a line with slope $$m=-2$$ ?

The slope of a line that is perpendicular to $$m=-2$$ is $$m=\frac{1}{2}$$ .

If a line has a slope of $$m=0$$ , what type of line is it?

A line with a slope of $$m=0$$ is a horizontal line.

If a line has an undefined slope, what type of line is it?

A line with an undefined slope is a vertical line.

What is the slope of a line that is parallel to a vertical line?

The slope of a line that is parallel to a vertical line is also undefined.

What is the slope of a line that is parallel to a horizontal line?

The slope of a line that is parallel to a horizontal line is $$m=0$$ .

Slopes of Parallel and Perpendicular Lines Flashcards

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

Yes, the slopes are parallel because they are equal.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

No, the lines are not perpendicular because their slopes do not satisfy the condition of being negative reciprocals.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

7.

FLASHCARD QUESTION

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

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