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 slopes of perpendicular lines are negative reciprocals of each other.

Front

How do you determine if two lines are parallel based on their equations?

Back

Two lines are parallel if they have the same slope in their slope-intercept form (y = mx + b).

Front

How do you determine if two lines are perpendicular based on 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

If a line has a slope of -6, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of -6 is 1/6.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

Given the equations y = 5/7x + 2 and y = 5/7x - 30, are these lines parallel, perpendicular, or neither?

Back

These lines are parallel because they have the same slope of 5/7.

Front

What is the negative reciprocal of 3/2?

Back

The negative reciprocal of 3/2 is -2/3.

Front

If two lines have equations y = -2/3x + 2 and y = 3/2x + 9, what can be said about their relationship?

Back

These lines are perpendicular because their slopes are negative reciprocals of each other.