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

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

What is the slope of a line perpendicular to the line represented by the equation $$y = -\frac{1}{2}x + 4$$ ?

The slope of a line perpendicular to $$y = -\frac{1}{2}x + 4$$ is 2.

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

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

What is the relationship between the slopes of perpendicular lines?

The slopes of perpendicular lines are negative reciprocals of each other.

Write the equation of a line perpendicular to $$y = 2x - 1$$ that passes through the point (3, 3).

$$y = -\frac{1}{2}x + \frac{9}{2}$$ .

What is the slope-intercept form of a line?

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

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

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

Write the equation of a line parallel to $$y = \frac{1}{3}x + 4$$ that passes through the point (1, 1).

$$y = \frac{1}{3}x + \frac{2}{3}$$ .

Write the equation of a line perpendicular to $$y = 5x + 2$$ that passes through the point (2, 3).

$$y = -\frac{1}{5}x + \frac{16}{5}$$ .

Writing equations of lines parallel and perpendicular 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

Front

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

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

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