Question 8240
A parallel line to a given line is one that has the same slope, but a different y-intercept.
The slope-intercept form of the equation of the line x+2y = 7 is y = -1/2 x + 7/2
So any line with the equation y = -1/2 x + b [b not equal 7/2] will be parallel.
Here's a graph of a couple of such lines with b= 3/2 and 6:
{{{graph (400, 400, -10, 10, -10, 10, -(1/2)x + 7/2, -(1/2)x +3/2, -(1/2)x + 6)}}}