Parallel and Perpendicular Lines

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals.

Front

Given the equations y = 3/2x + 2 and y = 2/3x + 6, what can be said about these lines?

Back

These lines are neither parallel nor perpendicular.

Front

If the slope of a line is m = 3/4, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 3/4.

Front

Given the equations y = 5/7x + 2 and y = 5/7x - 30, what can be said about these lines?

Back

These lines are parallel.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if their slopes are equal.

Front

How can 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 linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

It means that the lines intersect at an angle that is not 90 degrees and do not have the same slope.