# Plotting Points

**Parts of the Coordinate Plane**

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The coordinate plane is a way to express numbers and equations graphically. It contains two axes, the x and the y. The x axis is the horizontal (left and right) and the y axis is the vertical (up and down). The center of the plane is a point called the origin. Numbers on the x-axis count up in positive numbers to the right of the origin and down in negative numbers to the left of the origin. Numbers on the y-axis count up in positive numbers above the origin and down in negative numbers below the origin.

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**Ordered Pairs**

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Every point on the coordinate plane is expressed as an ordered pair. The first digit of the ordered pair is the x-coordinate. That is how far to the left or right the point is on the x-axis. The second number of the ordered pair is the y-coordinate. That is how far up or down on the y-axis the point is. All ordered pairs are written in the format (x,y). For example, if you want to plot the point (3, 2), you would count to the right 3 spaces on the x-axis, then count up 2 spaces on the y-axis.

If the point is (-5,3) you would count to the left 5, then up 3.

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**Distance Formula**

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If you have two points that you need to find the distance between, you have a distance formula available on your formula sheet. The distance formula is:

Designate your two points as point 1 and 2. Then plug the x-coordinate of your first point in place of the x_{1}, then the x-coordinate of your second point in place of the x_{2}, then the y-coordinates in place of y_{1} and y_{2}. Then solve for d.