Answer:
The slope of the line is [tex]-9[/tex]
Step-by-step explanation:
Given points are [tex](4,-1)\ and\ (3,8)[/tex].
The slope is change in y-coordinate over the change in x-coordinate
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
And, we have
[tex](x_1,y_1)=(4,-1)\\(x_2,y_2)=(3,8)[/tex]
Plug the formula of the slope we get,
[tex]m=\frac{8-(-1)}{3-4}\\\\m=\frac{8+1}{3-4}\\\\m=\frac{9}{-1}\\\\m=-9[/tex]
So, the slope of line passing through [tex](4,-1)\ and\ (3,8)[/tex] is [tex]m=-9[/tex]
