Question 178461
You are correct. 



Here's a graph to visually verify the answer:

{{{drawing(500, 500, -10, 10, -10, 10,
graph(500, 500, -10, 10, -10, 10,(7-x)/2,(-1/2)x-13/2),
circle(-5,-4,0.08),
circle(-5,-4,0.10),
circle(-5,-4,0.12))}}}Graph of the original equation {{{x+2y=7}}} (red) and the parallel line {{{y=(-1/2)x-13/2}}} (green) through the point *[Tex \LARGE \left\(-5,-4\right\)].