Step 1: Find the slope:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{10-6}{6-5} = \dfrac{4}{1} = 4[/tex]
Step 2: Set up your equation [tex]y-y_1=m(x-x_1)[/tex] using one of the points.
Using (5,6) we have [tex]y-6 = 4(x-5)[/tex].
Using (6,10) we have [tex]y-10 = 4(x-6)[/tex]
Both of those equations would be correct.
