Answer :
To find the slope of a line, we need to use the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where we have the x- and y-coordinates for the given points.
We can label the given points as follows:
Point 1:
(19, -2) ---> x1 = 19, y1 = -2.
Point 2:
(-11, 10) ---> x2 = -11, y2 = 10.
And now, we can apply the formula to find the slope of the line:
[tex]m=\frac{10-(-2)}{-11-19}\Rightarrow m=\frac{10+2}{-30}\Rightarrow m=\frac{12}{-30}=-\frac{6}{15}=-\frac{2}{5}[/tex]Therefore, the slope of the line is -2/5.