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 but different y-intercepts.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The product of their slopes is -1.

Front

If a line has a slope of 3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 3.

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

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

Back

y = 2x + 3.

Front

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

Back

y = 1/4x + 5/2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Determine if the lines with slopes 1/3 and -3 are parallel, perpendicular, or neither.

Back

They are perpendicular.

Front

Determine if the lines with slopes 2 and 2 are parallel, perpendicular, or neither.

Back

They are parallel.