Question 178461
x+2y=7  Rewrite in the slope-intercept format to identify the slope
2y=-x+7
2/2y=-1/2x+7/2
y=-1/2x+7 Resulting in a slope of -1/2
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y=mx+b  Since the lines are parallel, the slopes of the two lines are equal
The second line has a slope of -1/2 and a point of (-5, -4)
-4=(-1/2)(-5) + b Plug-in the values in order to solvle for the y-intercept
-4=5/2+b Solve for the b-value (also known as the y-intercpet)
-4+(-5/2)=b
-13/2=b
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Putting it all together gives your answer in which I agree:
y=-1/2x-13/2

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Check by graphing both lines.  They should have the same slope on your calculator.