Respuesta :

Answer:

[tex]y=\frac{5}{2}x[/tex]

Step-by-step explanation:

  • First of all, we need to find the gradient
  • We can do this with [tex]\frac{\triangle y}{\triangle x}[/tex] ([tex]\frac{change\ in\ y}{change\ in\ x}[/tex])
  • [tex]\frac{5-0}{2-0}[/tex]
  • [tex]\frac{5}{2}[/tex]
  • [tex]y=\frac{5}{2}x+c[/tex]
  • Choose one of the coordinates to find c
  • I choose (2, 5)
  • [tex]5=\frac{5}{2}\times 2 + c[/tex]
  • [tex]5=5+c[/tex]
  • [tex]c=0[/tex]
  • The equation is [tex]y=\frac{5}{2}x[/tex]

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