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 (0,0) and is perpendicular to the line y = 2x + 1.

Back

y = -1/2x.

Front

If two lines have slopes m1 and m2, what condition must be met for them to be parallel?

Back

m1 = m2.

Front

If two lines have slopes m1 and m2, what condition must be met for them to be perpendicular?

Back

m1 * m2 = -1.

Front

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

Back

y = 3x - 1.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

Are the lines y = 5x + 2 and y = 5x - 3 parallel or perpendicular?

Back

They are parallel.

Front

What is the slope of the line represented by the equation y = 1/2x - 3?

Back

The slope is 1/2.

Front

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

Back

y = 1/3x + 3.