Graphing Points on 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 (x, y).

Front

What are the coordinates of the origin?

Back

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

Front

What does the first number in an ordered pair (x, y) represent?

Back

The x-coordinate, which indicates the horizontal position on the coordinate plane.

Front

What does the second number in an ordered pair (x, y) represent?

Back

The y-coordinate, which indicates the vertical position on the coordinate plane.

Front

How do you plot the point (3, 2) on the coordinate plane?

Back

Start at the origin (0, 0), move 3 units to the right (positive x-direction), and then move 2 units up (positive y-direction).

Front

What is the significance of negative coordinates?

Back

Negative coordinates indicate positions to the left of the origin on the x-axis or below the origin on the y-axis.

Front

What is the coordinate of the point located 4 units left and 3 units down from the origin?

Back

(-4, -3) - Move 4 units left (negative x) and 3 units down (negative y).

Front

What is the distance between the points (1, 2) and (1, -2)?

Back

4 units - The distance is calculated by finding the difference in the y-coordinates: |2 - (-2)| = 4.

Front

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

Back

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

Front

What is the quadrant where both x and y coordinates are positive?

Back

Quadrant I - The top right section of the coordinate plane.