Respuesta :

Hi there!  

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I believe your answer is:  

He identified the incorrect x-value.

See explanation below.

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Here’s why:  

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[tex]\text{General Point-Slope Form is:}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\(x_1,y_1) -\text{A point that is given.}\\\\m -\text{Slope}[/tex]

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  • Denzel incorrectly identified the x-value of the given point.  
  • The value '-3' is actually indicated in the equation. If you plug in '-3' into the equation, you would get '-(-3)', which simplifies to '+3'.

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[tex]y-2 = \frac{2}{3} (x-x_1)\rightarrow y-2 = \frac{2}{3} (x-(-3))\rightarrow y-2=\frac{2}{3} (x+3)[/tex]

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The point in the equation should be: (-3, 2).

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