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)

Tags

CCSS.HSG.GPE.B.7

Front

What is the x-axis on a coordinate plane?

Back

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

Tags

CCSS.5.G.A.1

Front

What is the y-axis on a coordinate plane?

Back

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

Tags

CCSS.5.G.A.1

Front

What are ordered pairs?

Back

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

Tags

CCSS.5.G.A.1

Front

What are quadrants in a coordinate plane?

Back

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

Tags

CCSS.5.G.A.1

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.

Tags

CCSS.HSG.GPE.B.7

Front

What is the origin in a coordinate plane?

Back

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

Tags

CCSS.5.G.A.1

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).

Tags

CCSS.5.G.A.2

Front

What does it mean for two points to be collinear?

Back

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

Tags

CCSS.4.G.A.1

Front

What is the slope of a line?

Back

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

Tags

CCSS.8.EE.B.5