Respuesta :

Answer:

The error is the slope is -4 and the correct is, the slope is  [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

You must put the equation in the form of y = m x + b, where

  • m is the slope
  • b is the y-intercept

Let us put the equation n the form above

x = -4y

→ Switch the two sides

∴ -4y = x

→ Make the coefficient of y equal 1 by divide both sides by -4

∵ [tex]\frac{-4y}{-4}[/tex] = [tex]\frac{x}{-4}[/tex]

∴ y = [tex]\frac{x}{-4}[/tex]

→ Write [tex]\frac{x}{-4}[/tex] as [tex]-\frac{1}{4}[/tex] x

y =  [tex]-\frac{1}{4}[/tex] x

→ Compare it by the form above

m =  [tex]-\frac{1}{4}[/tex]  and b = 0

∴ The slope of the is  [tex]-\frac{1}{4}[/tex] , and the y-intercept is 0

The error is the slope is -4 and the correct is the slope is  [tex]-\frac{1}{4}[/tex]

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