Endpoints, -Slope, Distance, Midpoint

Front

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

Back

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

Front

If one endpoint is (5, -7) and the midpoint is (1.5, 1), what is the missing endpoint?

Back

(-2, 9)

Front

What does 'm' represent in the slope formula?

Back

Slope (m) is the ratio of the rise over the run.

Front

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

Back

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

Front

If the slope of a line is -5/3, what does this indicate about the line's direction?

Back

The line is decreasing from left to right.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Find the distance between the points (3, 4) and (7, 1).

Back

Distance = 5 units.

Front

What is the definition of slope in a graph?

Back

Slope is the measure of the steepness of a line, calculated as rise/run.

Front

If the midpoint of a segment is (7, -9) and one endpoint is (-4, 5), what is the other endpoint?

Back

(18, -23)

Front

What does 'rise' refer to in the context of slope?

Back

Rise refers to the vertical change between two points.