You’re in for a challenge today! Don’t worry, you can do it.

Take a look at this **graph of a line on a coordinate plane**:

You can measure **x** and **y** from the reference lines called the **x-axis** and **y-axis**.

Now tell me, what is the ** slope of the graph**?

Remember the formula for slope**:**

The variables **x** and **y** represent two quantities that have a** linear relationship**.

The slope of the graph is a **ratio** between the **change in y** and the **change in x**.

That means we need to **pick two points on the line** and **compare the change**.

Two points on the line are **(0, 10)** and **(30, 30)**. Put those points into the slope formula.

The slope is **2/3 or two-thirds**. You can also think of slope as the “rate of change.”

On the graph above, y changes in a **two-thirds proportion** to changes in x.

Since this is a linear relationship, the slope represents a **constant rate of change**.

Are you scratching your head? Try picking two other points for practice.

Today’s lesson is one of many pre-algebra skills needed for high school and beyond.

If you have questions, **you can find the answers to your questions**.

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