Unit 4 Test Review

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and 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

Calculate the distance between the points (3, 4) and (7, 1).

Back

Distance = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

Find the other endpoint of the line segment with endpoint A(-4, 2) and midpoint M(8, 7).

Back

Other endpoint = (2 * M - A) = (2 * (8, 7) - (-4, 2)) = (20, 12).

Front

What is the distance between the points (0, 0) and (0, 5)?

Back

Distance = √((0 - 0)² + (5 - 0)²) = √(0 + 25) = 5.

Front

If a line has the equation y = 2x + 3, what is its slope?

Back

The slope of the line is 2.

Front

What is the midpoint of the line segment with endpoints (0, 2) and (-2, -8)?

Back

Midpoint = ((0 + (-2))/2, (2 + (-8))/2) = (-1, -3).

Front

Are the lines y = -1/3x - 5 and y = 1/3x + 2 parallel, perpendicular, or neither?

Back

Neither, because their slopes (-1/3 and 1/3) are not negative reciprocals.