# How do you write an equation for the line through (6,8) and (2,-10)?

##### 1 Answer

#### Explanation:

To write an equation for a line through two points we need to use a two step process.

Step 1) Find the slope.

Step 2) Using the slope, one of the points and the point-slope formula determine the equation.

The slope can be found by using the formula:

Where

Substituting the points we are given in this problem the slope is:

Now we can use one of the points we were given, the slope we determined and the point-slope formula to find the equation for the line.

The point-slope formula states:

Where

If we want to put this into slope-intercept form we can solve for