Answer:
-51/82.
Explanation:
Given two points (x1,y1)=(2,21) and (x2,y2)=(84,-30), we find the slope using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the given points:
[tex]\begin{gathered} m=\frac{-30-21}{84-2} \\ m=-\frac{51}{82} \end{gathered}[/tex]The slope of the line that passes through the given points is -51/82.