aortiH

2020-11-02

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 $P(-1,\text{}-3)\text{}\text{and ending at}\text{}Q(6,\text{}-16)$

Tuthornt

Skilled2020-11-03Added 107 answers

Step 1: The line segment starting at $P(-1,\text{}-3)\text{}\text{and ending at}\text{}Q(6,\text{}-16)$. The parametric equations for this line segment must be located. Step 2: The parametric equations for a line segment starting from P and ending at $Q\text{}is\text{}P\text{}+\text{}tQ$. Step 3: The parametric equations of the line segment starting at $P(-1,\text{}-3)\text{}\text{and ending at}\text{}Q(6,\text{}-16)\text{}is$

$P\text{}+\text{}tQ=(-1,\text{}-3)\text{}+\text{}t(6,\text{}-16)=(-1\text{}+\text{}6t,\text{}-3\text{}-\text{}16t)$

$\therefore \text{}x=\text{}-1\text{}+\text{}6t,\text{}y=\text{}-3\text{}-\text{}16t$

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