# What is the equation of the line passing through #(6,6)# and #(1,2)#?

##### 1 Answer

Using the Two Coordinate Equation

#### Explanation:

**The Two Coordinate Equation**

The two coordinate equation's general form is written as:

**Applied to Your Example**

In your case

If we put these values into the equation we get:

Now we need to rearrange into the form

First simplify the denominator of both fractions to get:

Next multiply both sides by -4 to get:

Now multiply both sides by -5 to get rid of the other fraction:

#-5y+30 = -4x+24

Next we take away 30 from both sides to get

Now multiply by -1 to change the signs:

Lastly divide by 5 to get a single