Answer
Refer to the image below for the graph.
Work Step by Step
Write the equation in $y=mx+b$ by subtracting $4x$ on both sides of the equation to obtain:
$4x+y-4x=6-4x
\\y = 6-4x
\\y=-4x+6$
The given equation has:
slope = $-4=\dfrac{-4}{1}\\$
y-intercept = $6$
To graph the equation, perform the following steps:
(1) Plot the y-intercept point $(0, 6)$.
(2) From $(0, 6)$, use the slope to locate another point.
Move 4 units down (the rise) and 1 unit to the right (the run) to end at the point $(1, 2)$.
(3) Connect the two points using a straight line to complete the graph.
(refer to the attached image in the answer part for the graph)