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

$$-\frac{1}{m}$$ (the opposite reciprocal of $$m$$ )

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

3 (the same slope as the original line)

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

Use the point-slope form: $$y - y_1 = m(x - x_1)$$ .

What is the slope of a line that is perpendicular to a line with slope 4?

$$-\frac{1}{4}$$ (the opposite reciprocal of 4)

If two lines have slopes of $$\frac{2}{3}$$ and $$-\frac{3}{2}$$ , are they perpendicular?

Yes, because their slopes are opposite reciprocals.

What is the slope of a line that is parallel to the line represented by the equation $$y=-2x+5$$ ?

$$-2$$ (the same slope as the original line)

How can you determine if two lines are parallel using their equations?

If their slopes are equal, the lines are parallel.

What is the slope of a line that is perpendicular to a line with slope $$\frac{-1}{3}$$ ?

$$3$$ (the opposite reciprocal of $$\frac{-1}{3}$$ )

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

$$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

Equations of Parallel and Perpendicular Lines Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Slopes of perpendicular lines are...

Back

opposite reciprocals

3.

FLASHCARD QUESTION

Front

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

Back

y = -6x + 4

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Slopes of parallel lines are...

Back

equal

6.

FLASHCARD QUESTION

Front

What is the relationship between the slopes of two lines that are parallel?

Back

The slopes are equal.

7.

FLASHCARD QUESTION

Front

Back

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