Parallel, Perpendicular, or neither

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

How can you determine if two lines are neither parallel nor perpendicular?

Back

If the slopes of the two lines are different and do not satisfy the perpendicular condition (product of slopes is not -1), they are neither.

Front

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

Back

The slope (m) represents the steepness of the line, indicating how much y changes for a unit change in x.

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.

Front

What is the slope of the line y = 1/2x + 4?

Back

The slope is 1/2.

Front

If two lines have the same slope, what can we conclude about their relationship?

Back

They are parallel.

Front

What is the slope of the line y = 1/3x + 2?

Back

The slope is 1/3.

Front

How can you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slopes of two parallel lines are equal.