Answer:
The slope of the line is -8.
Step-by-step explanation:
We have been given the graph of an equation in xy-plane and we have to find the slope of this line.
In order to find the slope, we can first find two points through which the line is passing.
From the given graph, we can see that the line is passing through the points (0,6) and (1, -2).
The formula for the slope of a line is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
On substituting the known values, we get
[tex]m=\frac{-2-6}{1-0} \\\\[/tex]
[tex]m=-8[/tex]
Therefore, the slope of the line is -8.
