Question

Graph each equation using the intercepts. Re-write in standard form first if necessary.X-4y=0

Answer 1

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.

`x-4y-x=0-x`
`-4y=-x`

Then, divide both sides of the equation by -4.

`(-4y)/(-4)=(-x)/(-4)`
`y=(1)/(4)x`

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.