Answer :
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]
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]