Slope, Distance, Midpoint & Endpoint Review

Front

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

Back

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

Front

Find the midpoint of the line segment with endpoints (3,9) and (5,9).

Back

(4,9)

Front

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

Back

The distance d is given by d = sqrt((x2 - x1)² + (y2 - y1)²).

Front

Find the distance between the points (1,2) and (4,6).

Back

5.0

Front

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

Back

The slope m is given by m = (y2 - y1) / (x2 - x1).

Front

What is the slope between the points (-3, -4) and (7, 6)?

Back

1

Front

Find the slope of the line that passes through the points (2,3) and (4,7).

Back

2

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing from left to right.