We are given the following two points
[tex](1,-17)\text{and}(2,-7)[/tex]We are asked to find the slope using the slope formula.
The slope is given by
[tex]m=\frac{y_2−y_1}{ x_2−x_1}[/tex][tex]\text{where}(x_1,y_1)=(1,-17)\text{and}(x_2,y_2)=(2,-7)[/tex]Let us substitute the given points into the above slope formula
[tex]m=\frac{-7-(-17)}{2-1}=\frac{-7+17}{1}=\frac{10}{1}=10[/tex]Therefore, the slope is found to be 10.