Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that have the same slope and never intersect.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.

Front

If two lines have the same slope, what can we say about them?

Back

They are parallel.

Front

What is the slope of a line perpendicular to a line with a slope of 2?

Back

-1/2 (the negative reciprocal of 2).

Front

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

Back

y = 3x - 1.

Front

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

Back

-4.

Front

If two lines are perpendicular, what is true about their slopes?

Back

Their slopes are negative reciprocals.

Front

Determine if the lines y = 1/2x + 3 and y = -2x + 1 are parallel, perpendicular, or neither.

Back

Neither (their slopes are 1/2 and -2).

Front

What is the slope of a line parallel to y = 5x - 4?

Back

5 (same slope as the original line).

Front

If a line has a slope of 0, what type of line is it?

Back

A horizontal line.