The equation which represents the line is : y = 5x/4 - 5
Writing the equation in slope-intercept form ;
- y = bx + c
- b = slope ; c = intercept
From the graph, we can use the pair of points (4, 0) , (0, -5) to obtain the slope
Slope = change in y / Change in x
Slope = (-5 - 0) / (0 - 4) = 5/4
Using this to calculate the intercept;
(4, 0)
0 = 5/4(4) + c
0 = 5 + c
c = -5
The equation becomes: y = 5x/4 - 5