Answer :
We have the following:
The equation in slope form y y-intercept is as follows
[tex]y=mx+b[/tex]The slope formula is as follows
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]replacing:
[tex]m=\frac{-6-1}{-2-(-16)}=\frac{-7}{-2+16}=\frac{-7}{14}=-\frac{1}{2}[/tex]now, for b, m = -1/2, x = -16 and y = 1
replacing:
[tex]\begin{gathered} 1=-\frac{1}{2}\cdot-16+b \\ 1=8+b \\ b=1-8 \\ b=-7 \end{gathered}[/tex]The equation is:
[tex]y=-\frac{1}{2}x-7[/tex]