Learning Objectives:

__Math Tutoring on Graphing and Determining Linear Equations in Point – Slope Form: y - y____₁ ____= m(x - x____₁____)__

To **graph** a line in **Point-Slope Form** and also to find the equation of a line using **Point-Slope Form**, we first learn about the **linear function** which is given by **y = mx + b, **or** f(x) = mx + b, **where **m** is equal to the **slope, b** is equal to the **y-intercept.**

Of all the forms of **Linear Equation**, this is probably the most popular one because it's very easy to work with and we can** graph** it quickly without doing any calculations.

The **Point-Slope Form** of a line which can also be very useful is **y – y _{1} = m (x – x_{1})** where again

So one of the most important things we need to be able to do when we're given a line in this form is to find the point that is contained on the line.

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**Hook Questions:**

*1. **How can we write an equation in Point – Slope Form?*

*2. **How to compare between Slope – Intercept and Point – Intercept Forms?*

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