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

Problem

y=−2,y=−1

Solution

1. Identify the given equations as representing two distinct horizontal lines in a 2D coordinate system.

2. Represent the set of points for each line using vector notation, where a point (x,y) is written as the vector r=<x,y>

3. Express the first line y=−2 by letting x be a free parameter t resulting in the vector form <x,−2>

4. Express the second line y=−1 by letting x be a free parameter s() resulting in the vector form <x,−1>

5. Combine the descriptions into a single statement of vector equality or set notation to represent the pair of lines.

Final Answer

<x,y>=<t,−2>* and *<x,y>=<s,−1>

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