Question 1206663
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The slope of Ax+By = C is m = -A/B
If B = 0, then the slope is undefined and the line is vertical.


In the case of 4x+2y = 7 the slope is m = -A/B = -4/2 = -2.


Any parallel line to this will also have slope of -2.
Parallel lines have equal slopes but different y intercepts.


y = mx+b
y = -2x+b .... plug in slope
0 = -2*1+b .... plug in point's coordinates
0 = -2+b
b = 2


We determine that
m = -2 and b = 2
It means y = mx+b turns into <font color=red>y = -2x+2</font>
That is the slope-intercept version of the answer.


If you want the answer in standard form, then add the 2x to both sides
y = -2x+2
2x+y = 2
Note that doubling both sides leads to 4x+2y = 4, where we see the "4x+2y" expression show up again. 
4x+2y = 7 is parallel to 4x+2y = 4
This is because Ax+By = C is parallel to Ax+By = D, where {{{C <> D}}}
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