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What linear equation represents the graph of a horizontal line, parallel to the Z-axis, that travels through the point (0,4)? Use the grid or a piece of paper if needed.

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Problem

What linear equation represents the graph of a horizontal line, parallel to the Z-axis, that travels through the point (0,4)? Use the grid or a piece of paper if needed. ​

Solution

for this case the general equation of a plane is given by:

A(x-xo) + B(y-yo) + C(z-zo)=0

C=0 for this case

A(x-xo) + B(y-yo) =0

And for this case one possible answer would be:

y=4

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