Slope, Midpoint & Distance

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Find the distance between the points (3, 24) and (7, 56).

Back

32.2

Front

Find the distance between the points (2, 9) and (1, 5).

Back

4.12

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

Find the slope of the line that passes through the points (6, 7) and (4, 2).

Back

5/2

Front

Find the slope of the line that passes through the points (-4, 7) and (-6, -4).

Back

11/2

Front

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

Back

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

Front

Find the midpoint of the line segment connecting the points (2, 3) and (4, 7).

Back

Midpoint = (3, 5)

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.