Coordinate System

Front

What is a coordinate system?

Back

A coordinate system is a method for identifying the position of points in a space using numbers, typically in two dimensions with an x-axis (horizontal) and a y-axis (vertical).

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a graph, usually written as an ordered pair (x, y).

Front

What does the ordered pair (0,0) represent?

Back

The ordered pair (0,0) represents the origin in a coordinate system.

Front

In an ordered pair, what does the first number represent?

Back

The first number in an ordered pair represents the x-coordinate.

Front

In an ordered pair, what does the second number represent?

Back

The second number in an ordered pair represents the y-coordinate.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate system where the x-coordinate is zero.

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a coordinate system where the y-coordinate is zero.

Front

How do you find a point that lies on a line given two points?

Back

To find another point on the line, you can determine the slope between the two points and use it to find a third point.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x between two points.

Front

What is an example of an ordered pair?

Back

An example of an ordered pair is (3, 5), where 3 is the x-coordinate and 5 is the y-coordinate.