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This question is super easy, all you need to do is isolate the y variable. When you want to isolate it, you have to get rid of other numbers by doing the opposite sign.
x+2y=8     Subtract the x.
2y=8-x      Divide by two.
y=4-1/2x

[tex]x+2y=8[/tex] can be written in a slope-intercept form as [tex]y = 4-\dfrac{x}{2}[/tex].

Slope

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

Given to us,

[tex]x+2y=8[/tex]

To find the slope-intercept form

To find the function, simply isolate y.

[tex]x+2y=8\\2y = 8-x\\y = \dfrac{8-x}{2}\\\\y = \dfrac{8}{2}-\dfrac{x}{2}\\\\y = 4-\dfrac{x}{2}[/tex]

Hence, [tex]x+2y=8[/tex] can be written in a slope-intercept form as [tex]y = 4-\dfrac{x}{2}[/tex].

Learn more about Graph and slope:

https://brainly.com/question/7588291

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