Answer
Refer to the graph below.
Work Step by Step
Solve for $y$:
$x-4y=8
\\-4y=8-x
\\-4y=-x+8
\\\frac{-4y}{-4}=\frac{-x+8}{-4}
\\y=\frac{1}{4}x-2$
This means the given equation is equivalent to $y=\frac{1}{4}x-2$.
RECALL:
(1) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
(2) The slope is the ratio rise (change in $y$) over run (change in $x$).
The equation $y=\frac{1}{4}x-2$ has a slope of $\frac{1}{4}$ and a y-intercept of $(0, -2)$.
To graph the equation, perform the following steps:
(1) Plot the y-intercept $(0, -2)$.
(2) Use the slope to plot another point.
From $(0, -2)$, move 1 unit up (the rise) and 4 units to the right (the run) to reach $(4, -1)$. Plot $(4, -1)$.
(3) Complete the graph by connecting the points using a straight line.
(Refer to the graph in the answer part above.)