Write parametric equations of the line 2x-y=3

• Yna9141: In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,
  
      f(x) = y = ax + b
  
  where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,
  
     f(x)  = y = 2x - 3
• RenatoMattice:

  Answer: The required parametric equation is y=2t-3.

  Step-by-step explanation:

  Since we have given that

  2x+-y=3

  We need to rewrite in parametric equation:

  The parametric equation is written as

  [tex]f(x)=y=at+b[/tex]

  So, Arranging the given equation in the above equation, we get

  [tex]2x-y=3\\\\2x-3=y\\\\f(x)=y=2x-3[/tex]

  And then put x = t, to get the exact parametric form.

  Hence, the required parametric equation is y=2t-3.