Step 1: Given,

The line segment starting at P(-1, -3) and ending at Q(6, -16). We have to find the parametric equations for this line segment.

Step 2: Concept Used

The parametric equations for a line segment starting from P and ending at Q is P+tQ.

Step 3: Calculation

The parametric equations of the line segment starting at P(-1, -3) and ending at Q(6, -16) is

P+tQ=(-1.-3)+t(6,-16)=(-1+6t,-3-16t)

\(\displaystyle\therefore{x}=-{1}+{6}{t},{y}=-{3}-{16}{t}\)

The line segment starting at P(-1, -3) and ending at Q(6, -16). We have to find the parametric equations for this line segment.

Step 2: Concept Used

The parametric equations for a line segment starting from P and ending at Q is P+tQ.

Step 3: Calculation

The parametric equations of the line segment starting at P(-1, -3) and ending at Q(6, -16) is

P+tQ=(-1.-3)+t(6,-16)=(-1+6t,-3-16t)

\(\displaystyle\therefore{x}=-{1}+{6}{t},{y}=-{3}-{16}{t}\)