Module 13 Review

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

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?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

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

Back

Two lines are parallel if their slopes are equal (m1 = m2).

Front

What is the midpoint formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

True or False: Perpendicular lines have the same slope.

Back

False

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

If the slope of one line is 3/4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -4/3.

Front

How do you calculate the distance between the points (1, 3) and (5, 6)?

Back

Distance = √((5 - 1)² + (6 - 3)²) = √(16 + 9) = √25 = 5.

Front

What is the slope of a line that runs parallel to the line with slope -1/5?

Back

The slope of the parallel line is also -1/5.