Answer: The slope of the line is [tex]-\frac{1}{3}[/tex].
Explanation:
From the given graph it is noticed that the line passing through many points.
The coordinates of three given points are (-6,6), (0,4) and (6,2).
If a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of the lie is defined by,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passing through two points (0,4) and (6,2). So the slope of the line is,
[tex]m=\frac{2-4}{6-0}[/tex]
[tex]m=\frac{-2}{6}[/tex]
[tex]m=-\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex].
