Slope, Distance, Midpoint & Endpoint Review

Front

What is the slope formula?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Calculate the slope between the points (2, 3) and (5, 11).

Back

The slope is m = (11 - 3) / (5 - 2) = 8 / 3.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the distance formula?

Back

The distance (d) between two points (x1, y1) and (x2, y2) is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The distance is d = √((4 - 1)² + (6 - 2)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is the midpoint formula?

Back

The midpoint (M) between two points (x1, y1) and (x2, y2) is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

The midpoint is M = ((2 + 4)/2, (3 + 7)/2) = (3, 5).

Front

What is an endpoint in geometry?

Back

An endpoint is a point at one end of a line segment or the starting point of a ray.

Front

How do you find an endpoint given a midpoint and another endpoint?

Back

If you have a midpoint M and one endpoint A, you can find the other endpoint B using the formula: B = (2M - A).