Parallel and Perpendicular Lines

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

Front

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

Back

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

Front

What is the slope of a line perpendicular to y = -2x + 5?

Back

The slope of a line perpendicular to y = -2x + 5 is 1/2.

Front

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

Back

y = 4x - 2.

Front

Write the equation of a line perpendicular to y = 1/3x + 4 that passes through the point (3, 5).

Back

y = -3x + 14.

Front

What is the equation of a horizontal line that passes through the point (0, 7)?

Back

y = 7.

Front

What is the equation of a vertical line that passes through the point (4, 0)?

Back

x = 4.

Front

If two lines have the same slope, what can be said about their relationship?

Back

If two lines have the same slope, they are parallel.

Front

If the slopes of two lines are negative reciprocals, what can be said about their relationship?

Back

If the slopes of two lines are negative reciprocals, they are perpendicular.