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 $$y = -2x + 1$$ ?

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

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

The equation is $$y = 2x - 5$$ .

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

The equation is $$y = \frac{1}{2}x + 2$$ .

If a line has a slope of 3, what is the slope of a line parallel to it?

The slope of a line parallel to it is also 3.

If a line has a slope of 3, what is the slope of a line perpendicular to it?

The slope of a line perpendicular to it is $$-\frac{1}{3}$$ .

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.

How do you find the y-intercept of a line given its equation in slope-intercept form?

The y-intercept is the value of b in the equation $$y = mx + b$$ .

What is the equation of a horizontal line?

The equation of a horizontal line is of the form $$y = k$$ , where k is a constant.

What is the equation of a vertical line?

The equation of a vertical line is of the form $$x = k$$ , where k is a constant.

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: $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

What is the significance of the slope in a linear equation?

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Writing Parallel and Perpendicular Equations of Lines. Flashcards

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1.

FLASHCARD QUESTION

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2.

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3.

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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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

7.

FLASHCARD QUESTION

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

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