How do you work our 3x=4-Y Please help .. if you could explain it in quite a simple way, thanks.

You need to isolate the variable y to one side, hence, you
need to subtract 4 both sides, such that:

class="AM">`3x - 4 = 4 - 4 - y => 3x - 4 = -y`

You need to multiply by -1 both sides, such
that:

`y = 4 - 3x`

Hence, the equation of the function class="AM">`y = f(x)` is `y = -3x +
4` .

Since the leading coefficient negative, a
= -3, the graph of the function is a line that descends from quadrant 2 to quadrant
4.

The graph intercepts class="AM">`x` axis at `y = 0` ,
such that:

-3x + 4 = 0 => -3x = -4 => x =
4/3

The graph intercepts y axis at x = 0, such
that:

f(0) = y =
4

Hence, the graph intercepts x and y axis at
the points `(4/3,0)` and class="AM">`(0,4)` and it extends from quadrant 2 to quadrant
4.

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