What is the slope of a line parallel to a line with slope $$m$$ ?

The slope of a line parallel to a line with slope $$m$$ is also $$m$$ .

What is the slope of a line perpendicular to a line with slope $$m$$ ?

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

What is the slope of the line represented by the equation $$y = -\frac{1}{4}x + 5$$ ?

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

What is the relationship between the slopes of the lines $$y = 5x + 3$$ and $$y = 5x - 2$$ ?

The lines are parallel because they have the same slope.

What is the relationship between the slopes of the lines $$y = -3x + 1$$ and $$y = \frac{1}{3}x + 4$$ ?

The lines are perpendicular because their slopes are opposite reciprocals.

If a line has a slope of $$-\frac{3}{4}$$ , what is the slope of a line that is parallel to it?

The slope of the parallel line is $$-\frac{3}{4}$$ .

If a line has a slope of $$-\frac{3}{4}$$ , what is the slope of a line that is perpendicular to it?

The slope of the perpendicular line is $$\frac{4}{3}$$ .

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

The general form is $$Ax + By + C = 0$$ .

What does it mean for two lines to be neither parallel nor perpendicular?

It means the lines intersect at an angle that is not 90 degrees and do not have the same slope.

How can you determine if two lines given in standard form are parallel?

If the ratios of their coefficients are equal, i.e., $$\frac{A_1}{A_2} = \frac{B_1}{B_2}$$ , then the lines are parallel.

Parallel and Perpendicular Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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2.

FLASHCARD QUESTION

Front

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3.

FLASHCARD QUESTION

Front

If two lines have the same slope, what can we say about them?

Back

The lines are parallel.

4.

FLASHCARD QUESTION

Front

If two lines have slopes that are opposite reciprocals, what can we say about them?

Back

The lines are perpendicular.

5.

FLASHCARD QUESTION

Front

Back

The slope is 3.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

They are parallel.

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