Answer:
[tex]\mathrm{slope\:intercept\:form:\:y = \dfrac{ 1 }{ 2 } x+4}[/tex]
Step-by-step explanation:
To change the equation into slope-intercept form, we write it in the form y=mx+b
So this means that we have to solve for "y" in the equation "-x + 2y = 8"
−x + 2y = 8
Step 1: Add x to both sides
2y = 8 + x
Step 2: Now the equation is in standard form
2y = x + 8
Step 3: Divide both sides by 2
[tex]\mathrm{\dfrac{ 2y }{ 2 } = \dfrac{ x+8 }{ 2 }}[/tex]
Step 4: Dividing by 2 undoes the multiplication by 2
[tex]\mathrm{y = \dfrac{ 1 }{ 2 } x+4}[/tex]
