Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

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

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Front

If the slope of one line is m, what is the slope of a line perpendicular to it?

Back

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

Front

Determine if the lines y = 12x + 4 and y = 12x + 14 are parallel.

Back

YES, they are parallel because they have the same slope.

Front

Determine if the lines y = (-1/2)x + 1 and y = (1/2)x - 5 are parallel.

Back

NO, they are not parallel because their slopes are not the same.

Front

Write an equation of a line that is perpendicular to y = 3x - 12 and passes through (-9, 2).

Back

y = (-1/3)x - 1.

Front

What is the slope of the line y = -2/3x + 2?

Back

The slope is -2/3.

Front

What is the slope of the line y = 3/2x + 9?

Back

The slope is 3/2.