Parallel and Perpendicular Lines

Front

What is the definition of parallel lines?

Back

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

Front

What is the definition of perpendicular lines?

Back

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

Front

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

Back

y = (-3/5)x + 2

Front

Are the lines y = 12x + 4 and y = 12x + 14 parallel?

Back

YES

Front

Are the lines y = 4x + 2 and y = (-1/4)x + 12 perpendicular?

Back

YES

Front

If two lines are parallel, what can be said about their slopes?

Back

Their slopes are the same.

Front

If two lines are perpendicular, what can be said about their slopes?

Back

Their slopes are negative reciprocals of each other.

Front

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

Back

The slope is 3.

Front

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

Back

The slope is -2.

Front

If the slope of one line is 4, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -1/4.