Parallel & Perpendicular Lines Flashcard

Front

What is the slope of a line that is perpendicular to a line with slope m = \frac{3}{4}?

Back

The slope of a line that is perpendicular to a line with slope \frac{3}{4} is \frac{-4}{3}.

Front

What is the slope of a line that is parallel to the line represented by the equation y = 2x - 7?

Back

The slope of a line that is parallel to y = 2x - 7 is 2.

Front

Identify a line that is parallel to the line represented by the equation y = x + 9.

Back

A line that is parallel to y = x + 9 is y = x - 9.

Front

What is the equation of a line that is parallel to y = -6x + 12?

Back

An equation that represents a line parallel to y = -6x + 12 is y = -6x + 3.

Front

Find the equation of a line that is parallel to y = 3x + 2 and passes through the point (3, -4).

Back

The equation of the line is y = 3x - 13.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Front

If a line has a slope of 5, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with slope 5 is \frac{-1}{5}.

Front

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

Back

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

Front

Determine the slope of a line that is perpendicular to the line with the equation y = 4x + 1.

Back

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