Write the equation of a line PARALLEL to the line $$y = 4x - 9$$ that passes through the point (-2, 4).

The equation is $$y = 4x + 12$$ .

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line $$y = 3x - 12$$ .

The equation is $$y = (-\frac{1}{3})x - 1$$ .

How do you determine if two lines are perpendicular using their slopes?

If the product of the slopes of the two lines is -1, then the lines are perpendicular.

What is the slope-intercept form of a line?

The slope-intercept form is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

If a line has a slope of 0, what type of line is it?

A line with a slope of 0 is a horizontal line.

If a line has an undefined slope, what type of line is it?

A line with an undefined slope is a vertical line.

What is the y-intercept of the line represented by the equation $$y = -2x + 4$$ ?

The y-intercept of the line is 4.

How can you find the slope of a line given two points (x1, y1) and (x2, y2)?

The slope is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

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

Two lines are neither parallel nor perpendicular if their slopes are different and not opposite reciprocals.

Parallel and Perpendicular equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope of two parallel lines?

Back

The slope of two parallel lines is the same.

2.

FLASHCARD QUESTION

Front

Back

The lines are parallel.

3.

FLASHCARD QUESTION

Front

What is the slope of two perpendicular lines?

Back

The slope of two perpendicular lines are opposite reciprocals.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

How do you determine if two lines are parallel using their slopes?

Back

If the slopes of the two lines are equal, then the lines are parallel.

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