Final answer:
The equation of the line is y + 2 = -2x + 6.
Step-by-step explanation:
To write an equation for a line with a given slope and a point, we can use the point-slope form of a line. The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given point is (3, -2) and the slope is -2. Plugging the values into the point-slope form, we get y - (-2) = -2(x - 3). Simplifying the equation, we have y + 2 = -2x + 6.