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

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

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

The slope of a line perpendicular to $$y = -\frac{1}{4}x + 5$$ is 4.

What is the equation of a line that is parallel to $$y = 2x + 3$$ and passes through the point (2, 5)?

The equation is $$y = 2x + 1$$ .

Write the equation of a line that is perpendicular to $$y = 4x - 1$$ and passes through the point (1, 2).

The equation is $$y = -\frac{1}{4}x + \frac{9}{4}$$ .

How do you find the y-intercept of a line given its equation in slope-intercept form?

The y-intercept is the value of y when x = 0.

What is the equation of a line that is parallel to $$y = -5x + 4$$ and has a y-intercept of -3?

The equation is $$y = -5x - 3$$ .

If two lines are neither parallel nor perpendicular, what can be said about their slopes?

Their slopes are neither equal nor negative reciprocals.

Write the equation of a line that is perpendicular to $$y = 6x + 1$$ and passes through the point (0, 2).

The equation is $$y = -\frac{1}{6}x + 2$$ .

Equations of Parallel and Perpendicular Lines 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

If two lines have slopes m_1 and m_2, what condition must be met for the lines to be perpendicular?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the definition of parallel lines in terms of slope?

Back

Parallel lines have the same slope.

6.

FLASHCARD QUESTION

Front

What is the definition of perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

7.

FLASHCARD QUESTION

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Back

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