Question

What is the slope-intercept form of the linear equation 2x–8y=32 ? Enter your answer in the box.

Answer 1

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

Answer 2

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

Explanation:

we have

`2x-8y=32` -----> equation of the line in standard form

we know that

the equation of the line into slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

Convert the equation into slope intercept form

isolate the variable y

Adds
`8y` both sides

`2x-8y+8y=32+8y`

`2x=32+8y`

Subtract
`32` both sides

`2x-32=32+8y-32`

`2x-32=8y`

Divide by
`8` both sides

`(2x-32)/8=8y/8`

`(2x-32)/8=y`

Rewrite

`y=(1)/(4)x-4` -----> equation of the line into slope intercept form