Chp 3.6/3.7 - 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

If two lines have the same slope, what can be said about their relationship?

Back

If two lines have the same slope, they are parallel.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

How do you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

Given the equation y = 2x + 1, what is the slope?

Back

The slope of the line given by the equation y = 2x + 1 is 2.

Front

How can you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and a different y-intercept.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

If a line has a slope of -4, what is the slope of a line that is parallel to it?

Back

The slope of a line that is parallel to a line with a slope of -4 is also -4.