Distance on a Coordinate Plane

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the x-axis on a coordinate plane?

Back

The horizontal number line that represents the x-coordinates of points.

Front

What is the y-axis on a coordinate plane?

Back

The vertical number line that represents the y-coordinates of points.

Front

What are ordered pairs?

Back

A pair of numbers (x, y) that represent a point on the coordinate plane.

Front

What are quadrants in a coordinate plane?

Back

The four regions created by the x-axis and y-axis.

Front

How do you find the distance between points A(2, 3) and B(5, 7)?

Back

Distance = √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5.

Front

What is the origin in a coordinate plane?

Back

The point (0, 0) where the x-axis and y-axis intersect.

Front

If point M is at (1, 1), what are the coordinates of a point that is 3 units away from M?

Back

Possible points include (1, 4), (1, -2), (4, 1), and (-2, 1).

Front

What does it mean for two points to be collinear?

Back

Two points are collinear if they lie on the same straight line.

Front

What is the slope of a line?

Back

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