How do you determine if two lines are perpendicular from their equations?

Two lines are perpendicular if the product of their slopes is -1. If one line has a slope $$m_1$$ and the other has a slope $$m_2$$ , then $$m_1 \cdot m_2 = -1$$ .

If a line has a slope of 1, what is the slope of a line perpendicular to it?

The slope of a line perpendicular to it would be -1.

What is the equation of a line parallel to $$y = 4x + 2$$ that passes through the point (1, 3)?

The equation is $$y = 4x - 1$$ .

What is the equation of a line perpendicular to $$y = \frac{1}{2}x + 3$$ that passes through the point (2, 4)?

The equation is $$y = -2x + 8$$ .

How do you convert the standard form of a line to slope-intercept form?

To convert from standard form $$Ax + By = C$$ to slope-intercept form, solve for $$y$$ : $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the slope-intercept form $$y = mx + b$$ .

Parallel/Perpendicular Lines Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a line?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points?

Back

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope. If two lines are parallel, their slopes are equal.

Tags

CCSS.8.EE.B.5

4.

FLASHCARD QUESTION

Front

What is the relationship between the slopes of perpendicular lines?

Back

Tags

CCSS.8.EE.B.6

5.

FLASHCARD QUESTION

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

6.

FLASHCARD QUESTION

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

7.

FLASHCARD QUESTION

Front

How do you determine if two lines are parallel from their equations?

Back

Tags

CCSS.8.EE.B.6

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