Coordinate Planes & Input / Output Tables

Front

What is a coordinate plane?

Back

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

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). The first number represents the horizontal position, and the second number represents the vertical position.

Front

How do you graph the point (3, 4) on a coordinate plane?

Back

To graph (3, 4), start at the origin (0, 0). Move 3 units to the right (along the x-axis) and then 4 units up (along the y-axis).

Front

What does the x-axis represent in a coordinate plane?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero. It represents the input values in a function.

Front

What does the y-axis represent in a coordinate plane?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero. It represents the output values in a function.

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the ordered pair (0, 0).

Front

What is the rule for the input/output table: 2, 4, 6, 8?

Back

The rule is +2, meaning each output is 2 more than the input.

Front

What is the output for the input of 5 if the rule is x3?

Back

The output is 15, because 5 multiplied by 3 equals 15.

Front

How do you find the output in an input/output table?

Back

To find the output, apply the rule to the input value. For example, if the rule is +5 and the input is 3, the output is 8.

Front

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

Back

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