nataliaghg09 nataliaghg09
  • 02-10-2020
  • Mathematics
contestada

Convert the equation, x - 2y = 6, into slope-intercept form.

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Аноним Аноним
  • 02-10-2020

Answer:

[tex]\boxed {y = -\frac{1}{2}x + 3}[/tex]

Step-by-step explanation:

Convert the equation from Standard Form to Slope-Intercept Form:

[tex]Ax + By = C[/tex]  ⇒  [tex]y = mx + b[/tex]

-The following equation:

[tex]x - 2y = 6[/tex]

-Solve:

[tex]x - 2y = 6[/tex]

[tex]x - x - 2y = 6 - x[/tex]

[tex]2y = -x + 6[/tex]

[tex]\frac{2y}{2} = \frac{-x}{2} + \frac{6}{2}[/tex]

[tex]\boxed {y = -\frac{1}{2}x + 3}[/tex]

So, the equation in Slope-Intercept Form is [tex]y = -\frac{1}{2}x + 3[/tex].

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