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Equations of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines

Assessment

Flashcard

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

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

2.

FLASHCARD QUESTION

Front

What is the slope of a line perpendicular to the line represented by the equation y=−14x+5y = -\frac{1}{4}x + 5 ?

Back

The slope of a line perpendicular to y=−14x+5y = -\frac{1}{4}x + 5 is 4.

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

The lines are perpendicular if m1×m2=−1m_1 \times m_2 = -1 .

4.

FLASHCARD QUESTION

Front

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

Back

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

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

Front

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

Back

The equation is y=−14x+94y = -\frac{1}{4}x + \frac{9}{4} .

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