Given two points of coordinates (a,b) and (A,B), the slope between them is given by:
![m=(B-b)/(A-a)](https://img.qammunity.org/2023/formulas/mathematics/college/5sx2nnplen5sqrvd53s4rjb2ox7rxrhp3x.png)
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):
![m=(6-5)/(7-1)=(1)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/9aca08o6xxhowrpdgflesj3eow3yc3wtl8.png)
Therefore, the slope of (1,5) and (7,6) is equal to 1/6.