The slope of a line, also known as the gradient of a line is the ratio of the change in the vertical values to the horizontal values of the given points.
The points given are
[tex](11,-4)\text{ and (-5,9)}[/tex]The horizontal values are
[tex]x_1=11,x_2=-5[/tex]The vertical values are
[tex]y_1=-4,y_2=9[/tex]We can now apply the formula to compute the slope
[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]Hence
[tex]\text{slope}=\frac{9-(-4)}{-5-11}[/tex]Thus
[tex]\text{slope}=\frac{13}{-16}=-0.8125[/tex]Thus, the slope rounded to the nearest tenths place will be
[tex]-0.8[/tex]The slope is -0.8
