Question

Can someone plz help me plz

Answer 1

`\large\boxed{C.\ y=2+x^4}`

Explanation:

The slope-intercept form of an equation of linear function:

`y=mx+b`

m - slope

b - y-intercept

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`A.\\\\9y+3=0\qquad\text{subtract 3 from both sides}\\\\9y=-3\qquad\text{divide both sides by 9}\\\\y=-(3)/(9)\\\\y=-(1)/(3)\to m=0,\ b=-(1)/(3)`

`B.\\\\y-4x=1\qquad\text{add}\ 4x\ \text{to both sides}\\\\y=4x+1\to m=4,\ b=1`

`C.\\\\y=2+x^4\qquad\text{nonlinear, because}\ x\ \text{is in fourth power}`

`D.\\\\x-2y=7\qquad\text{subtract}\ x\ \text{from both sides}\\\\-2y=-x+7\qquad\text{divide both sides by (-2)}\\\\y=(1)/(2)x-(7)/(2)\to m=(1)/(2),\ b=-(7)/(2)`

`E.\\\\(x)/(y)+1=2\qquad\text{subtract 1 from both sides}\\\\(x)/(y)=1\to y=x\to m=1,\ b=0`