The equation of the line, in slope-intercept form, is written as

wherein m is the slope of the line and b is the y-intercept.
The first step to solve the equation of the line that passes through two points is to find the slope of the line given two points. The slope of the line can be computed using the equation

For points (5, -4) and (-1, 8), the slope of the line is

Now, we have the initial equation of the line written as

To solve for the value of b, we use one of the points and substitute it on the initial equation above. In my case, I will be using points (5,-4), we have

Hence, the equation of the line that passes through (5,-4) and (-1,8) is
