# Represent the plane curve by a vector-valued function. y =

Represent the plane curve by a vector-valued function. $y=x+5$
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Step 1
To Determine: represent the plane curve by a vector function .
Given: we have a function $y=x+5$
Explanation: we have a function
$y=x+5$
now let us consider $x=t$ then we have $y=t+5$
so we know that the vector valued function can be expressed by
$r\left(t\right)=x\left(t\right)\stackrel{^}{i}+y\left(t\right)\stackrel{^}{j}$
now putting the value in the function then we have
Step 2
$r\left(t\right)=ti+\left(t+5\right)j$
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