Parallel and Perpendicular Lines

Front

What is the slope of a line that is parallel to the line represented by the equation y = 2x + 5?

Back

The slope of a line parallel to y = 2x + 5 is 2.

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = -4x + 1?

Back

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

Front

Define parallel lines in terms of their slopes.

Back

Parallel lines have identical slopes.

Front

Define perpendicular lines in terms of their slopes.

Back

Perpendicular lines have slopes that are opposite reciprocals.

Front

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

Back

y - 2 = 3(x - 1) or y = 3x - 1.

Front

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

Back

y - 1 = -2(x - 2) or y = -2x + 5.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are identical.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are opposite reciprocals.

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 perpendicular to it is -\frac{1}{5}.

Front

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

Back

The slope of a line parallel to y = -2x + 4 is -2.