Question

Write the equation in slope-intercept form: x-4y=8

Answer 1

`y = (1)/(4) x - 2`

Explanation:

First thing to do is siolate the y variable. We do this by subtracting x from both sides of the equation in this particular equation.

`x - 4y = 8 \\ - x \: \: \: - x \\ - 4y = - x + 8`

Now we change the -4y into just y using division. We have to divide boths sides by -4 to do so.

`- 4y = - x + 8 \\ / ( - 4) \: \: / ( - 4) \\ y = (1)/(4)x - 2`

There it is in slope intercept form.

Answer 2

y=1/4x-2

Explanation:

slope intercept form is y=mx+b

your equation right now is in standard form: ax+by=c

equation: x-4y=8

what we want to do is isolate y on one side

subtract x from both sides

-4y=-x+8

divide by 4 on both sides

y=1/4x-2

Hope this helps! :)