To find the equation of the line the first step we have to follow is to find the slope of the line. To do it we have to use the x and y coordinates of one pair of points on the line in the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Use the coordinates of the points (-1,0) and (0,-4):
[tex]m=\frac{-4-0}{0-(-1)}=\frac{-4}{1}=-4[/tex]
The slope of the line is -4.
According to the given graph the y intercept is located at y=-4.
It means that the value of m is -4 and the value of b is -4 too. Replace these values in the general intercept form of the equation to find the equation of the line:
[tex]y=-4x-4[/tex]
It means that the correct answer is y=-4x-4.
