Since the question already give the slope we only need to find the y-intercept.
Slope-intercept form: y = mx + b
-6 = 1/2(7) + b
-6 = 3.5 + b
-6 - 3.5 = 3.5 - 3.5 + b
-9.5 = b
Now, we can write this in slope-intercept form.
y = 1/2x - 9.5
Best of Luck!
[tex]\bf (\stackrel{x_1}{7}~,~\stackrel{y_1}{-6})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{7})\implies y + 6 = \cfrac{1}{2}x-\cfrac{7}{2} \\\\\\ y = \cfrac{1}{2}x-\cfrac{7}{2}-6\implies y = \cfrac{1}{2}x-\cfrac{19}{2}[/tex]
