The slope of the line is [tex]m=-4[/tex]
Explanation:
Given that the pair of points are [tex](1,-19)[/tex] and [tex](-2,-7)[/tex]
We need to determine the slope of the line.
The slope of the line can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points [tex](1,-19)[/tex] and [tex](-2,-7)[/tex] for the coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above formula, we have,
[tex]m=\frac{-7-(-19)}{-2-1}[/tex]
Simplifying the terms, we get,
[tex]m=\frac{-7+19}{-2-1}[/tex]
Adding the terms, we have,
[tex]m=\frac{12}{-3}[/tex]
Dividing, we get,
[tex]m=-4[/tex]
Thus, the slope of the line between the pair of points is [tex]m=-4[/tex]