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topjm [15]
3 years ago
11

Can someone plz help me plz

Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

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

Step-by-step explanation:

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

y=mx+b

<em>m</em> - slope

<em>b</em> - y-intercept

============================

A.\\\\9y+3=0\qquad\text{subtract 3 from both sides}\\\\9y=-3\qquad\text{divide both sides by 9}\\\\y=-\dfrac{3}{9}\\\\y=-\dfrac{1}{3}\to m=0,\ b=-\dfrac{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=\dfrac{1}{2}x-\dfrac{7}{2}\to m=\dfrac{1}{2},\ b=-\dfrac{7}{2}

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

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