For this case we have the following points:
[tex](x1, y1) = (17,11)\\(x2, y2) = (5,0)[/tex]
The equation of the slope of a line is given by:
[tex]m = \frac {(y2-y1)} {(x2-x1)}[/tex]
Substituting the given points we have:
[tex]m = \frac {(0-11)} {(5-17)}[/tex]
[tex]m = \frac {-11} {- 12}[/tex]
[tex]m = \frac {11} {12}[/tex]
Thus, the slope of the line that passes through the given points is:
[tex]m = \frac {11} {12}[/tex]
Answer:
[tex]m = \frac {11} {12}[/tex]
