8. write an equation in standard form for a line
that passes through (2, 2) and (12, -3).

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

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have two points through which the line passes:

We found the slope:

Thus, the equation is of the form:

We substitute one of the points and find "b":

Finally, the equation is of the form:

We write the equation of the standard form