JayanniA645217 JayanniA645217
  • 30-10-2022
  • Mathematics
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Construct parametric equations describing the graph of the following equation.y = 3x + 8If y = 3 + 1, find the parametric equation for x.

Construct parametric equations describing the graph of the following equationy 3x 8If y 3 1 find the parametric equation for x class=

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TabriyaU214673 TabriyaU214673
  • 30-10-2022

We want to compute the parametric equations for x and y;

[tex]y=3x+8[/tex]

We are given;

[tex]y=3+t[/tex]

Substituting for x;

[tex]\begin{gathered} 3+t=3x+8 \\ -3x=-t+8-3 \\ -3x=-t+5 \\ x=\frac{t}{3}-\frac{5}{3} \end{gathered}[/tex]

Thus, the equation for x is given by;

[tex]x=\frac{t}{3}-\frac{5}{3}[/tex]

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