Parallel and Perpendicular Slopes

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet and have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees) and have slopes that are opposite reciprocals.

Front

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

Back

Two lines are parallel if they have the same slope.

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 of a line given in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

If a line has a slope of 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also 2.

Front

If a line has a slope of -3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is 1/3 (the opposite reciprocal of -3).

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

If two lines have slopes of 1/2 and 2, are they parallel, perpendicular, or neither?

Back

They are neither parallel nor perpendicular.

Front

What is the relationship between the slopes of two lines that are parallel?

Back

The slopes of two parallel lines are equal.