# Curves to parametric equations Find parametric equations for the following curves. Include an interval for the parameter values. Answers are not unique. The line segment starting at P(-1, -3) text{and ending at} Q(6, -16)

Curves to parametric equations Find parametric equations for the following curves. Include an interval for the parameter values. Answers are not unique. The line segment starting at $$P(-1,\ -3)\ \text{and ending at}\ Q(6,\ -16)$$

Step 1: The line segment starting at $$P(-1,\ -3)\ \text{and ending at}\ Q(6,\ -16)$$. We have to find the parametric equations for this line segment. Step 2: The parametric equations for a line segment starting from P and ending at $$Q\ is\ P\ +\ tQ$$. Step 3: The parametric equations of the line segment starting at $$P(-1,\ -3)\ \text{and ending at}\ Q(6,\ -16)\ is$$
$$P\ +\ tQ = (−1,\ −3)\ +\ t (6,\ −16) = (−1\ +\ 6t,\ −3\ −\ 16t)$$
$$\therefore\ x=\ -1\ +\ 6t,\ y=\ -3\ -\ 16t$$