Math 8 Unit 1: The Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs.

Front

What are the four quadrants of the coordinate plane?

Back

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

How do you identify the quadrant of a point?

Back

By examining the signs of the x and y coordinates: positive x and positive y is Quadrant I, negative x and positive y is Quadrant II, negative x and negative y is Quadrant III, positive x and negative y is Quadrant IV.

Front

What is an ordered pair?

Back

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

Front

What does the x-coordinate represent?

Back

The horizontal position of a point on the coordinate plane.

Front

What does the y-coordinate represent?

Back

The vertical position of a point on the coordinate plane.

Front

What is the origin in the coordinate plane?

Back

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

Front

How many total points are there in the first quadrant?

Back

Infinitely many points, as any combination of positive x and positive y coordinates is valid.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.