find the slope of the line contain the given pair of points (-6,4) and (1,0)
\((-6,4) \\
x_1=-6 \\
y_1=4 \\ \\
(1,0) \\
x_2=1 \\
y_2=0 \\ \\
\hbox{the slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{1-(-6)}=\frac{-4}{1+6}=-\frac{4}{7}\)
The slope is -4/7.
\(m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}}\)
\(m = \frac{0 - 4}{1 - (-6)}\)
\(m = \frac{0 - 4}{1 + 6}\)
\(m = \frac{-4}{7}\)