We have the following:
In the graph we can see that the y-intercept is 50, now we calculate the slope as follows
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (0, 50) and (5, 0)
replacing:
[tex]m=\frac{0-50}{5-0}=-\frac{50}{5}=-10[/tex]
The slope is -10, therefore the equation of the line in slope-intercept form is:
[tex]y=-10x+50[/tex]
