Parallel and Perpendicular Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run (change in y over change in x).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

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 would also be 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 would be -1/3 (the opposite reciprocal).

Front

What is the slope of the line represented by the equation y = 4x + 5?

Back

The slope of the line is 4.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope of the line is -2.

Front

Are the lines y = 1/2x + 1 and y = 1/2x - 4 parallel, perpendicular, or neither?

Back

They are parallel because they have the same slope of 1/2.

Front

Are the lines y = 3x + 2 and y = -1/3x + 5 parallel, perpendicular, or neither?

Back

They are perpendicular because the product of their slopes (3 and -1/3) is -1.

Front

What is the slope of the line y = 0?

Back

The slope of the line y = 0 is 0, indicating a horizontal line.