Question

What is the slope of the line that passes through the points (-6,1)and (4,-4)

Answer 1

$(-6,1) \\ x_1=-6 \\ y_1=1 \\ \\ (4,-4) \\ x_2=4 \\ y_2=-4 \\ \\ \hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-1}{4-(-6)}=\frac{-5}{4+6}=\frac{-5}{10}=-\frac{1}{2}$

The slope is -1/2.

Answer 2

$\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\For~the~points~(x_1,y_1)~and~(x_2,y_2)\\\\\\ Slope = \frac{1-(-4)}{-6-4} = \frac{5}{-10} = \frac{-1}{2}\\\\Slope~is~-\frac{1}{2}$