# How do you write an equation in slope intercept form given (2, 4) and (1, –3)?

##### 1 Answer

See the explanation for the process.

#### Explanation:

First determine the slope using the **slope formula:**

where:

Point 1:

Point 2:

Plug the known values into the formula:

Simplify.

Now determine the linear equation using the **point-slope form:**

where

We can use one of the points from determining the slope. I'm going to use Point 1:

Plug in the given point and slope.

We can solve the point-slope form for

where:

Expand.

Add

Simplify.

where the slope