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You are watching: What is the slope-intercept form of the linear equation 2x–8y=32 ?

In order to graph `32 - 2x = 8y,`

we might place equation into slope-intercept because that which is `y = mx + b.`

Therefore, we would fix the equation for y by dividing everything through 8 and getting:

`y = -1/4x + 4.`

from this form, b = 4, which...

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In order to graph `32 - 2x = 8y,`

we could place equation into slope-intercept for which is `y = mx + b.`

Therefore, us would settle the equation because that y by separating everything by 8 and also getting:

`y = -1/4x + 4.`

From this form, b = 4, which to represent the y-intercept. "m" represents the slope, `(rise)/(run).`

From the y-intercept the 4 we might get other points ~ above graph by utilizing slope, in which rise = -1 and run = 4.

So, native the yintercept the (0, 4) we"d go down 1 and right 4 which would give us (4, 3).

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Which woul provide us this graph:

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