Given two points of coordinates (a,b) and (A,B), the slope between them is given by:
[tex]m=\frac{B-b}{A-a}[/tex]Notice that the numerator corresponds to the change on the value of the Y-coordinates, while the denominator corresponds to the change on the value of the X-coordinate.
Substitute for (1,5) and (7,6):
[tex]m=\frac{6-5}{7-1}=\frac{1}{6}[/tex]Therefore, the slope of (1,5) and (7,6) is equal to 1/6.
