Final answer:
The equation of the line with a slope of -6 and passes through the point (-3,0) is y = -6x + 18.
Step-by-step explanation:
To find the equation of a line with a given slope and a point it passes through, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point. In this case, the slope is -6 and the point is (-3, 0). Substituting these values into the equation, we get y - 0 = -6(x - (-3)). Simplifying further gives us y = -6x + 18, which is the equation of the line.