Parallel and Perpendicular lines/equations

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. 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 negative reciprocals of each other.

Front

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

Back

They are perpendicular because their slopes are negative reciprocals.

Front

What is the slope of a line parallel to y = 3x + 4?

Back

The slope is 3.

Front

What is the slope of a line perpendicular to y = -2x + 1?

Back

The slope is 1/2, which is the negative reciprocal of -2.

Front

Write the equation of a line that is parallel to y = 5x - 3 and passes through (2, 1).

Back

y = 5x - 9.

Front

Write the equation of a line that is perpendicular to y = 1/3x + 2 and passes through (3, 4).

Back

y = -3x + 13.

Front

Are the lines y = 4x + 1 and y = 4x - 5 parallel or perpendicular?

Back

They are parallel because they have the same slope.

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.