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.

Front

What are ordered pairs?

Back

A pair of numbers (x, y) that represent the position of a point on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

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 does the point (0, 0) represent?

Back

The origin, which is the point where the x-axis and y-axis intersect.

Front

What is the x-axis?

Back

The horizontal line on the coordinate plane where the y-coordinate is zero.

Front

What is the y-axis?

Back

The vertical line on the coordinate plane where the x-coordinate is zero.

Front

How do you identify the quadrant of a point?

Back

By looking at the signs of the x and y coordinates: Quadrant I (positive, positive), Quadrant II (negative, positive), Quadrant III (negative, negative), Quadrant IV (positive, negative).

Front

What is the distance from the origin to the point (4, 3)?

Back

The distance is calculated using the Pythagorean theorem: √(4^2 + 3^2) = √(16 + 9) = √25 = 5.

Front

What does it mean for a point to be on the x-axis?

Back

The y-coordinate of the point is zero, meaning it lies horizontally along the x-axis.

Front

What does it mean for a point to be on the y-axis?

Back

The x-coordinate of the point is zero, meaning it lies vertically along the y-axis.