*Contributor: Jamie Hagler. Lesson ID: 13793*

Whether vertically, horizontally, or some other direction, let's keep all our data in line!

categories

subject

Math

learning style

Visual

personality style

Golden Retriever

Grade Level

High School (9-12)

Lesson Type

Skill Sharpener

- How can you put numbers all in one spot so that you can get a better picture of the information presented?
- Can you use this to help you make predictions about what will happen next?
- Can you track the profit you make?

- Am I making enough profit?
- Are my sales increasing or decreasing?

We can track all that on a graph! Let's first start with plotting points.

To plot the point (3,2), we will count three to the right (in red) and two up (in green):

Here is another one. Let's graph the point (-2, 4). In this case, we will count two to the left (in red), and then 4 up (in green):

- Are you ready to get a little more into graphing?

Let's graph a line!

First, we need to know that in the linear function y = mx + b, the m value represents the slope, and the b value represents the *y*-intercept.

We will start with the line *y* = ^{2}/_{3}*x* - 4.

The slope is ^{2}/_{3}, and the *y*-intercept is -4:

We start at the *y*-intercept (in this case, -4). Plot a point on the *y*-axis at -4. This is where the line for this function intercepts, or crosses, the *y*-axis:

Now, we count the slope from the *y*-intercept.

The slope, which is represented by m, measures the steepness of the line. The steepness is the rise over the run from a certain point to the next point.

In this function, the slope, or m value, is ^{2}/_{3} which means from the *y*-intercept, the line will rise by 2 and run to the right by 3. Plot another point here, which is (3,-2):

Now draw a line through the two points!

Now, that you know how to graph a line, let's go to the *Got It?* section!

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