Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees).

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the slope of perpendicular lines?

Back

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

Front

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

Back

The slope would be -1/3.

Front

If two lines have slopes of 2 and -1/2, are they parallel, perpendicular, or neither?

Back

They are perpendicular.

Front

What is the equation of a line parallel to y = 4x + 1?

Back

Any line of the form y = 4x + b, where b is any real number.

Front

What is the equation of a line perpendicular to y = 2x + 3?

Back

Any line of the form y = -1/2x + b, where b is any real number.

Front

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

Back

If the coefficients of x in both equations are the same, the lines are parallel.

Front

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

Back

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