If the line is parallel, then their slope would be equal.
4y = -x + 6
y = -1/4 x + 3/2
Compare it with, y = mx + b
m = -1/4 [ Slope ]
Now, y - y1 = m(x - x1)
y - 5 = -1/4 (x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3
In short, Your Answer would be: y = -1/4x + 3
Hope this helps!
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It means that all values of x would make it true. Also take a look at the equation when we simplify:
4x + 7 = 1 + 4x + 6
Which simplified turns into
4x + 7 = 4x + 7
So no matter what value you put for x, it will be the same on both sides, making all values true for x.
