Write a linear equation based on given information. Through (5,-5) and (4,0)

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

We find the slope:

Thus, the equation is of the form:

We substitute a point and find b:

Finally, the equation is: