For this case we must find the slope of the line plotted on the coordinate plane. We know that by definition, the slope is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
We must replace two points that the line passes through, then:
[tex](x_ {1}, y_ {1}) = (0,6)\\(x_ {2}, y_ {2}) = (1, -2)[/tex]
Substituting we have:
[tex]m = \frac {-2-6} {1-0}\\m = \frac {-8} {1}\\m = -8[/tex]
Thus, the slope of the line is [tex]m = -8[/tex]
Answer:
[tex]m = -8[/tex]
