Respuesta :

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Remember that slope-intercept form is the following:

[tex]y = mx+ b[/tex]

  • [tex]m[/tex] is the slope of the line
  • [tex]b[/tex] is the y-intercept

Let's try to solve for that form.

[tex]-x + \dfrac{1}{2} y = -\dfrac{5}{2}[/tex]

  • Set up

[tex]\dfrac{1}{2} y = x - \dfrac{5}{2}[/tex]

  • Add [tex]x[/tex] to both sides

[tex]y = 2x - 5[/tex]

  • Multiply both sides by 2

The equation is y = 2x - 5.