# Curves to parametric equations Find parametric equations for the following curves. Include an interval for the parameter values. The line segment starting at P(-1, -3) and ending at Q(6, -16)

Question
Equations
Curves to parametric equations Find parametric equations for the following curves. Include an interval for the parameter values.
The line segment starting at P(-1, -3) and ending at Q(6, -16)

2020-11-23
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)
$$\displaystyle\therefore{x}=-{1}+{6}{t},{y}=-{3}-{16}{t}$$

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