Final answer:
The given equation represents a line on a coordinate plane. The line intersects the plane at one point.
Step-by-step explanation:
The equation -3y = 6 - 2x can be rewritten as -3y + 2x = 6. This is a linear equation because the variables y and x have a power of 1. To find how many points satisfy this equation, we need to graph it.
When we graph this equation, we find that it is a line. The line intersects the coordinate plane at one point. Therefore, the answer is a) 1.