If the slope of one line is $$m$$ , what is the slope of a line perpendicular to it?

The slope of a line perpendicular to another line with slope $$m$$ is $$-\frac{1}{m}$$ .

What is the slope of a line perpendicular to a line with slope $$\frac{1}{2}$$ ?

The slope of the perpendicular line is $$-2$$ .

What is the slope of a line perpendicular to $$y = -2x + 1$$ ?

The slope of the perpendicular line is $$\frac{1}{2}$$ .

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

The slope of the perpendicular line is $$\frac{1}{3}$$ .

What is the reciprocal of $$\frac{8}{5}$$ ?

The reciprocal is $$\frac{5}{8}$$ .

Write the equation of a line perpendicular to $$y = \frac{1}{3}x - 9$$ that passes through (-6, 10).

The equation is $$y = -3x - 8$$ .

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

The slopes are opposite (sign) reciprocals.

How do you determine if two lines are perpendicular using their slopes?

If the product of their slopes is -1, the lines are perpendicular.

What is the slope of a line perpendicular to a horizontal line?

The slope of a line perpendicular to a horizontal line is undefined (vertical line).

What is the slope of a line perpendicular to a vertical line?

The slope of a line perpendicular to a vertical line is 0 (horizontal line).

If a line has a slope of $$\frac{1}{4}$$ , what is the slope of a line perpendicular to it?

The slope of the perpendicular line is $$-4$$ .

Perpendicular Lines Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

How do you find the equation of a line given a point and a slope?

Back

5.

FLASHCARD QUESTION

Front

What is the point-slope form of a line?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What does it mean for slopes to be opposite reciprocals?

Back

Two slopes are opposite reciprocals if their product is -1, meaning one slope is the negative reciprocal of the other.

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