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Lesson 1: Intro to the coordinate plane

# Graph points review (positive numbers only)

Review graphing points and identifying points on quadrant I of a coordinate plane.  Then, try some practice problems.

### Graphing points in the coordinate plane

Points in the coordinate plane are identified by coordinates given in the form $\left(x,y\right)$.
The $x$-coordinate represents a value on the axis.
The $y$-coordinate represents a value on the $\text{vertical}$ axis.
Example:
Plot the point $\left(6,4\right)$.
For $\left(6,4\right)$ our $x$-coordinate is $6$, and our $y$-coordinate is $4$.
Let's start by going right to $6$ on the $x$-axis:
Now we go up to $4$ on the $y$-axis, and plot the point $\left(6,4\right)$:

## Practice set 1: Graphing points

Problem 1A
Plot the point $\left(1,5\right)$.

Want to try more problems like this? Check out this exercise.

## Identifying points

To determine the coordinates (or ordered pair) of a given point, we need to count the $\text{horizontal}$ and $\text{vertical}$ distance of the point from the $\text{origin (0, 0)}$.
Example:
Use the following coordinate plane to determine the ordered pair for the given point.
Let's start by counting the distance from $\left(0,0\right)$ to the given point on the $x$-axis:
The point is $3$ units to the right of the origin.
Now let's count the distance from $\left(0,0\right)$ to the given point on the $y$-axis:
The point is $1$ unit above the origin.
The coordinates of the point are $\left(3,1\right)$.

## Practice set 2: Identifying points

Problem 2A
What is the x-coordinate of the point plotted below?

Want to try more problems like this? Check out these exercises: Identify coordinates
Identify points

## Want to join the conversation?

• why does the zero go second?
for example: (2,0)
why not (0,2) ?
• because it is 2 down, 0 up.
• why do we do the x axis before the y axis
• x comes before y in the alphabet, but I honestly don't know.
• how does this work im confused?
• so what you do is you find the number on the x line and put that number down then you find the number on the y line and put that number down
• I got practice set 2 right but it said I got it wrong? PLEASE FIX!
• I don't get this
• ill tell you how to remember if y axis or x axis comes first in the alphabets first x comes then y so first x always :>
• How come it’s Y and X why can’t it be another letter like D!
• I believe its because Y and X are almost the last letters in the alphabet, so it will be eaisier or harder for you to know wich one comes first. For exampl if the two letters were "D" and "E", you would know "D" comes first, but because the two letters and X and Y it's harder because they are almost the last in the alphabet, unless you know you alphabet real well, so they wanted to throw in a small challenge i guess.