Step 1. We are given the slope of the line. We will call this slope 'm':

We also have the point (3, -3) which we will label as (x1,y1):

Required: Find the equation for the line.
Step 2. Since we have the slope and a point, we use the point-slope equation:

Substituting the known values:

We will express our answer in the slope-intercept form:

where m is the slope and b is the y-intercept.
Step 3. To convert our equation into the slope-intercept form, we need to simplify the operations:

Subtract 3 from both sides:

That is the equation in the slope-intercept form.
Answer:
