Unit 3B

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 formed by two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the slope of line AB is 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to line AB would be -1/2.

Front

How can you determine if two lines are parallel using their equations?

Back

If the equations of the lines are in slope-intercept form (y = mx + b), compare the slopes (m). If they are equal, the lines are parallel.

Front

What is the slope of the line formed by the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If line AB has a slope of 3 and line CD has a slope of 3, what can be said about the lines?

Back

Line AB and line CD are parallel.

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

The slopes of two lines that are neither parallel nor perpendicular are neither equal nor negative reciprocals.

Front

How do you find the slope of a line given two points?

Back

Use the formula m = (y2 - y1) / (x2 - x1) to calculate the slope.

Front

If line AB has a slope of -1 and line CD has a slope of 1, what is the relationship between the two lines?

Back

Line AB and line CD are perpendicular.