Learning Objectives:

__Math Tutoring on Determining Linear Equations of Lines in Slope-intercept Form__

A **linear function** is given by **y = mx + b, or f(x) = mx + b**. This graph is a straight line, with a **slope** equal to **m**, and crossing the **y**-axis at **(0, b)**. The point **(0, b)** is called the **y-intercept**.

So to summarize, you get two key components from a line in this form. Here m is equal to the **slope; b** is equal to the **y-intercept**.

Let us take a look at our formal definition: **y = mx + b **is called **slope intercept equation** of a line, where **m** is the **slope**, where, **m > 0** → Increasing, **m < 0** → Decreasing, **m = 0** → Horizontal, **m** is undefined → Vertical.

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**Hook Questions:**

*1. **How can you use data to form an equation in slope intercept form?*

*2. **How can you predict the graph to be increasing, decreasing, horizontal or vertical?*

*3. **What is a slope?*

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