Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $x = t + 8$ $y = \frac { t } { t + 8 }$
A) $y = \frac { x - 8 } { 9 x }$
B) $y = \frac { x } { x - 8 }$
C) $y = x - 8$
D) $y = \frac { x - 8 } { x }$
E) $y = x + 8$

Question

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.  $x = t + 8$ $y = \frac { t } { t + 8 }$ 
A) $y = \frac { x - 8 } { 9 x }$
B) $y = \frac { x } { x - 8 }$
C) $y = x - 8$
D) $y = \frac { x - 8 } { x }$
E) $y = x + 8$

Quizplus · Accepted Answer

To eliminate the parameter $t$, we express $t$ in terms of $x$ from the first equation: $t = x - 8$. Substituting this into the second equation gives $y = \frac{x - 8}{x}$, which matches option D.

Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose x=t+8x = t + 8x=t+8

Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $x = t + 8$