Answer
Choice $C$
Work Step by Step
The given equation:
$$y-(-1)=\frac32(x-1)$$
is in the point-slope form $y-y_1=m(x-x_1)$.
Hence, the line goes through the point $(x_1,y_1)=(1,-1)$.
Such a corresponding graph with the line that goes $(1,-1)$ is choice $C$.