Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). Their slopes are opposite reciprocals.

Front

If two lines have the same slope, what can we say about them?

Back

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

Front

What is the slope of a line perpendicular to a line with slope m?

Back

The slope of a line perpendicular to a line with slope m is -1/m.

Front

Write the equation of a line parallel to y = 3x + 2 that passes through the point (2, 5).

Back

y = 3x - 1.

Front

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

Back

y = -1/4x + 9/4.

Front

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

Back

The slopes of two parallel lines are equal.

Front

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

Back

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

Front

If a line has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/2.

Front

Determine if the lines represented by the equations y = 5x + 3 and y = 5x - 2 are parallel, perpendicular, or neither.

Back

They are parallel because they have the same slope.