We have to calculate the slope and the y-intercept.
The y-intercept can be seen directly in the graph at y(0)=-1.
To calculate the slope, we find another point in the line. For example the point (-4,4), that we are sure it belongs to the line.
We can calculate the slope as:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{4-(-1)}{-4-0}=\frac{4+1}{-4}=\frac{5}{-4}=-\frac{5}{4}[/tex]The slope is m=-5/4.
The y-intercept is b=-1.
The equation of the line is y=-(5/4)*x-1
