Question

how do you graph this point y=4

Answer 1

Answer on Question#43029-Math-Geometry

Question

How do you graph this point $y = 4$

Answer

There are 3 possible cases of graphing $y = 4$ .

In 1-dimensional space (line) it is graphed as a point (marked by blue rhombus in figure below)

In 2-dimensional space (plane) in rectangular coordinates (Cartesian coordinates) $\mathbf{y} = 4$ is graphed as a straight horizontal line (blue line in figure below). The expression $\mathbf{y} = 4$ means that $\mathbf{y}$ does not depend on $\mathbf{x}$ and is equal 4 whatever $\mathbf{x}$ .

In 3-dimensional space (volume) in rectangular coordinates $\mathbf{y} = 4$ is graphed as a flat plane parallel to $\mathbf{x} - \mathbf{z}$ surface. The expression $\mathbf{y} = 4$ in this case means that $\mathbf{y}$ does not depend on $\mathbf{x}$ and $\mathbf{z}$ and is equal 4 whatever $\mathbf{x}$ and $\mathbf{z}$ .

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