Equations of Parallel and Perpendicular Lines Review

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the steepness of the line and the direction it goes. It indicates how much y changes for a unit 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 their slopes are negative reciprocals of each other.

Front

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

Back

The slope of a line perpendicular to it would be -1/3.

Front

Are the lines y = 2x + 1 and y = 2x - 3 parallel?

Back

YES, they are parallel because they have the same slope of 2.

Front

Are the lines y = -x + 4 and y = x - 2 perpendicular?

Back

YES, they are perpendicular because their slopes are -1 and 1, which are negative reciprocals.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

If two lines have slopes of 4 and -1/4, what is their relationship?

Back

They are perpendicular because the product of their slopes is -1.

Front

Determine if the lines y = 1/2x + 2 and y = -2x + 3 are parallel, perpendicular, or neither.

Back

They are perpendicular because their slopes are 1/2 and -2.

Front

What is the slope of the line y = 7?

Back

The slope is 0, indicating a horizontal line.