# How do you find the equation of the line that goes through #(- 4,3)# and #( 5,- 2)#?

##### 1 Answer

See a solution process below:

#### Explanation:

First, we need to determine the slope of the line. The formula for find the slope of a line is:

Where

Substituting the values from the points in the problem gives:

Now, we can use the point-slope formula to write an equation for the line. The point-slope form of a linear equation is:

Where

Substituting the slope we calculated above and the values from the first point in the problem gives:

We can also substitute the slope we calculated above and the values from the second point in the problem giving: