Ordered Pairs

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y), where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

How do you identify the x-coordinate in an ordered pair?

Back

The x-coordinate is the first number in an ordered pair (x, y) and represents the horizontal position on the coordinate plane.

Front

How do you identify the y-coordinate in an ordered pair?

Back

The y-coordinate is the second number in an ordered pair (x, y) and represents the vertical position on the coordinate plane.

Front

What does the point (0, 0) represent on a graph?

Back

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

Front

If the ordered pair is (3, -2), what is the x-coordinate?

Back

The x-coordinate is 3.

Front

If the ordered pair is (3, -2), what is the y-coordinate?

Back

The y-coordinate is -2.

Front

What is the significance of the signs in an ordered pair?

Back

The signs indicate the direction of the point from the origin: positive x and y are in the first quadrant, negative x and positive y are in the second quadrant, negative x and y are in the third quadrant, and positive x and negative y are in the fourth quadrant.

Front

How do you plot the point (2, 3) on a graph?

Back

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

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

The distance can be calculated using the distance formula: √((x2 - x1)² + (y2 - y1)²) = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.

Front

What is the first quadrant in a coordinate plane?

Back

The first quadrant is the section of the coordinate plane where both x and y coordinates are positive.