The equation of the line that goes through the points (5,3)\displaystyle {\left({5},-{3}\right)} and (10,8)\displaystyle {\left({10},-{8}\right)} can be written in the form y=mx+b\displaystyle {y}={m}{x}+{b}

where m\displaystyle {m} is:  

and where b\displaystyle {b} is: