Here are the steps in rewriting the equation into its slope-intercept form.
1. Isolate the variable "y" by subtracting x on both sides of the equation. first.
[tex]x-4y-x=0-x[/tex][tex]-4y=-x[/tex]
Then, divide both sides of the equation by -4.
[tex]\frac{-4y}{-4}=\frac{-x}{-4}[/tex][tex]y=\frac{1}{4}x[/tex]
The slope-intercept form of the equation is y = 1/4x in which the slope = 1/4 and the y-intercept is 0.
To graph the equation, let us plot first the y-intercept at (0, 0).
Then, from the y-intercept, since the slope is 1/4, let's find another point on the line by moving 1 step up and 4 steps to the right of the y-intercept.
Then, connect these two points using a straight line.
The graph of equation x - 4y = 0 is shown below.
