Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5

Respuesta :

Hi there!  

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I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

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Here’s why:  

  • Recall that the slope intercept form of a equation for a line is:

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[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

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We are given the information of:

  • The slope, which is -5.
  • The y-intercept, which is (0, -6).

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[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

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Option B should be the correct answer.

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Hope this helps you. I apologize if it’s incorrect.