Parallel and Perpendicular lines

Front

What are parallel lines?

Back

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

Front

What are perpendicular lines?

Back

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

Front

How can you determine if two lines are parallel using their slopes?

Back

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

Front

How can you determine if two lines are perpendicular using their slopes?

Back

If the product of the slopes of two lines is -1, then the lines are perpendicular.

Front

What is the slope of a line parallel to y = 3x + 5?

Back

The slope of a line parallel to y = 3x + 5 is 3.

Front

What is the slope of a line perpendicular to y = 2x - 4?

Back

The slope of a line perpendicular to y = 2x - 4 is -1/2.

Front

What is the equation of a line parallel to y = -5x + 1 that passes through the point (2,3)?

Back

The equation is y = -5x + 13.

Front

What is the equation of a line perpendicular to y = x + 2 that passes through the point (1,1)?

Back

The equation is y = -x + 2.

Front

If two lines have slopes of 4 and -1/4, what can be said about their relationship?

Back

The lines are perpendicular because the product of their slopes is -1.

Front

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

Back

The general form of the equation of a line is Ax + By + C = 0, where A, B, and C are constants.