# How do you write an equation of a line given (8,5) (-4,7)?

##### 1 Answer

#### Explanation:

The slope-intercept form of a line is

To solve for the slope, take the rise over run (change in y/change in x), or

The slope (simplified) is

Now we solve for b. Take either point (it doesn't matter which) and the slope and plug it into the formula

Using point (8,5):

Now solve for

We have everything we need for the equation, so just plug all the pieces in: