y = 3x + 1 is a linear equation - it is the equation for a graph of a straight line that crosses the y axis at 1 and the x axis at -1/3, and has a gradient (slope) of 3.
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3x+y = 4 y = -3x+4 Perpendicular slope: 1/3
one is y=3x+3 so is y=3x+5
3x
(a) y = -3x + 1
X = -2(13 + y) / 3x = 5y / 4 - 1