Answer:
[tex]\large\boxed{\large\boxed{slope=-2/5}}[/tex]
Explanation:
The problem is: given the points (19,−2) and (−11,10) find the slope of the line that joins them.
The slope of a line is the change in the y-coordinate over the change of the x-coordinate:
Thus:
[tex]slope=[10-(-2)]/[-11-19]\\\\slope=12/(-30)\\\\slope=-12/30[/tex]
Simplify, dividing both numerator and denominator by 6:
[tex]slope=-2/5\leftarrow answer[/tex]