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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