Write as a Vector Equality y=-2-3 , y=1

Problem

y=−2*t−3,y=1*t+0

Solution

1. Identify the components of the vector equation by separating the constant terms from the terms containing the parameter t

2. Write the parametric equations for the vector r*(t) in the form <x,y> though here the components are given as two separate expressions for y (interpreted as x and y components).

3. Separate the vector into a constant position vector and a direction vector multiplied by the parameter t

4. Combine the parts into the standard vector form r=(r_0)+t*v

Final Answer

([x],[y])=([−3],[0])+t*([−2],[1])

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