**Q:** What is the equation of a line?

**A:** The equation of a line is **y=mx+b**, where

**m = slope**

**b = y-intercept**

**Q:** What is slope?

**A:** The slope of a line is a measure of how steep the line is. A larger slope means that the line is steeper, while a smaller slope corresponds to a flatter line.

The equation for slope is:

So essentially, slope is just **the change in y divided by the change in x**.

Let’s look at a graph with three different lines. Note that the green line has the largest slope, while the blue line has the smallest slope.

**Q:** What is the y-intercept?

**A:** In the equation of a line, **y=mx+b**, the y-intercept is ** b**. It is the y-value where the line crosses the y-axis.

Using the same three lines, let’s find their y-intercepts.

Lastly, let’s look at the same three lines with their equations in **y=mx+b** form.

Any line is defined by just **two **pieces of information: the slope, **m**, and the y-intercept, **b**.

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