Chapter 3 Review Flashcard

Front

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

Back

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

Front

Calculate the midpoint of the segment with endpoints (14, -3) and (-6, 21).

Back

(4, 9)

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the distance between the points (3, 2) and (9, 10).

Back

10

Front

Calculate the distance between the points (5, 7) and (2, 3).

Back

4

Front

What is the slope formula for a line through two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1)

Front

Calculate the slope of the line through the points (2, 4) and (5, 1).

Back

-1

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by x = a constant.