Coordinate Plane
What is a Coordinate Plane?
A coordinate plane is a two-dimensional surface formed by two number lines that intersect at right angles. The horizontal number line is called the x-axis, and the vertical number line is called the y-axis.
Origin: The point (0, 0) where the axes intersect
x-axis: The horizontal number line
y-axis: The vertical number line
Ordered Pairs
Points on the coordinate plane are represented by ordered pairs (x, y), where x is the horizontal distance from the origin and y is the vertical distance from the origin.
Plotting Points
Distance and Midpoint
Distance Formula
The distance between two points (x₁, y₁) and (x₂, y₂) can be calculated using the distance formula:
Example: Finding Distance
Find the distance between the points (1, 2) and (4, 6).
Midpoint Formula
The midpoint between two points (x₁, y₁) and (x₂, y₂) can be calculated using the midpoint formula:
Example: Finding Midpoint
Find the midpoint between the points (1, 2) and (4, 6).
Related Topics
Practice Coordinate Plane
Test your knowledge with our interactive coordinate plane practice exercises.
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