write the equation of the line that passes
through the point (3, -3) and has a slope of -2.

Step-by-step explanation:

The point-slope form of an equation of a line:

m - slope

(x₁, y₁) - point on a line

We have the point (3, -3) and the slope m = -2. Substitute:

- point-slope form

Convert to the slope-intercept form (y = mx + b):

       use the distributtive property

     subtract 3 from both sides

- slope-intercept form

Convert to the standard form (Ax + By = C):

       add 2x to both sides

- standard form

Convert to the general form (Ax + By + C = 0):

     subtract 3 from both sides

- general form