Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What is the slope of parallel lines?

Back

The slope of parallel lines is the same.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees).

Front

What is the slope of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

If the slope of one line is 2, what is the slope of a line perpendicular to it?

Back

The slope would be -1/2.

Front

How can you determine if two lines are parallel from their equations?

Back

If the coefficients of x and y are proportional, the lines are parallel.

Front

What is the equation of a line parallel to y = 3x + 2 that passes through (1, 4)?

Back

y = 3x + 1.

Front

What is the equation of a line perpendicular to y = -1/2x + 3 that passes through (2, 1)?

Back

y = 2x - 3.

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel.

Front

How do you find the slope from the equation of a line in standard form Ax + By = C?

Back

Rearrange to slope-intercept form (y = mx + b) to find the slope (m).