Graphing in the Coordinate Plane (Math 6)

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 is an ordered pair?

Back

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

Front

What does the first number in an ordered pair represent?

Back

The first number represents the position along the x-axis.

Front

What does the second number in an ordered pair represent?

Back

The second number represents the position along the y-axis.

Front

How do you plot the point (3, 4)?

Back

Start at the origin (0, 0), move 3 units to the right (x-axis), then move 4 units up (y-axis).

Front

What is the origin in the coordinate plane?

Back

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

Front

What is the x-axis?

Back

The horizontal line in the coordinate plane where y = 0.

Front

What is the y-axis?

Back

The vertical line in the coordinate plane where x = 0.

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 (3, 4)?

Back

The distance is 5 units, calculated using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5.