# How do you write an equation in point slope form of a line that passes through (2,-1) and (8,4)?

The required equation would be y+1= $\frac{5}{6}$ (x-2)
First of all slope of the line would be $\frac{4 + 1}{8 - 2}$ = $\frac{5}{6}$.
To write the point-slope form, either of the two points can be used to write the equation. Using the point (2,-1), the required equation would be y+1= $\frac{5}{6}$ (x-2). Using the other point (8,4) the equation would be y-4= $\frac{5}{6}$ (x-8). Both the equations are essentially the same. Either of them is the correct solution.