Chapter 8 - Section 8.4 - Plane Curves and Parametric Equations - 8.4 Exercises - Page 617: 34

$x=t$ and $y=\dfrac{7}{12}t$

The line passing through containing the point $P(p,q)$ with slope $m$ is expressed by the parametric equations as follows: $x=p+t; y=q+mt$ Here, $t$ is any real number. Here, the slope $m=\dfrac{7}{12}$ Now, the parametric equations for the given point are as follows: $x=0+t \\ y=0+(\dfrac{7}{12})t$ Thus, we have $x=t$ and $y=\dfrac{7}{12}t$