Correct answer is D.
Use equation of line which passes through the point [tex]A(x_1,y_1)[/tex].
[tex]y-y_1=m(x-x_1)[/tex]
[tex]A(-5,1) \Rightarrow x_1=-5,y_1=1
\\ m= \frac{3}{2}
\\
\\y-y_1=m(x-x_1) \\y-1= \frac{3}{2} (x-(-5))
\\y-1=\frac{3}{2} (x+5)
[/tex]
