What is the slope of a line parallel to the line with equation $$y = mx + b$$ ?

The slope of a line parallel to another line is the same. If the slope of the original line is $$m$$ , then the slope of the parallel line is also $$m$$ .

What is the slope of a line perpendicular to the line with equation $$y = mx + b$$ ?

The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. If the slope of the original line is $$m$$ , then the slope of the perpendicular line is $$-\frac{1}{m}$$ .

Write the equation of a line PERPENDICULAR to $$y = 5x + 2$$ that passes through the point (1, 4).

$$y = -\frac{1}{5}x + \frac{21}{5}$$ .

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.

How do you find the slope between two points (x1, y1) and (x2, y2)?

Use the formula: $$m = \frac{y2 - y1}{x2 - x1}$$ .

Writing equations of parallel and perpendicular lines Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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What slope is parallel to: m = 4?

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4.

6.

FLASHCARD QUESTION

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What slope is perpendicular to: m = 5/8?

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7.

FLASHCARD QUESTION

Front

Are the lines with slopes 3 and -1/3 parallel, perpendicular, or neither?

Back

Perpendicular.

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