Final answer:
The slope of the line represented by the equation y-3=3(x+1) is 3.
Step-by-step explanation:
The question asks for the slope of the line represented by the point-slope form equation y-3=3(x+1). The slope-intercept form of a linear equation is y=mx+b, where m represents the slope of the line and b represents the y-intercept. The equation provided is already in point-slope form, which is y - y1 = m(x - x1), where m is the slope. In the given equation, the slope m is the coefficient of x, which is 3. Therefore, the slope of the given line is 3.