Unit 5 Test Study Guide

Front

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

Back

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

Front

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

Back

The midpoint M is given by the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint divides a line segment into two equal parts and is the average of the endpoints' coordinates.

Front

How do you calculate the distance between points A(2, 0) and B(-2, 4)?

Back

Front

What is the distance between points A(3, 1) and B(-2, -1)?

Back

Front

What is the formula for finding the distance between two points in a coordinate plane?

Back

Front

What does it mean if two points have the same x-coordinate?

Back

If two points have the same x-coordinate, they lie on a vertical line.