Geo2.4 Parallel and Perpendicular Lines

Front

What is the equation of a line that is perpendicular to the x-axis?

Back

The equation of a line that is perpendicular to the x-axis is of the form x = a, where 'a' is a constant.

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.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 2, 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 2 is -1/2.

Front

Determine if the lines y = 2x + 3 and y = 2x - 5 are parallel, perpendicular, or neither.

Back

These lines are parallel because they have the same slope (2).

Front

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

Back

These lines are perpendicular because the product of their slopes (1/2 * -2) is -1.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0, where A, B, and C are constants.

Front

If two lines have slopes m1 and m2, what condition must be met for them to be perpendicular?

Back

The condition is m1 * m2 = -1.