Sketch graph of linear function.

AI Thread Summary
The discussion centers on sketching the graph of the linear function y=5, which represents a horizontal line at y=5. Participants clarify that x is not undefined; rather, it can take any value while y remains constant at 5. A table of values can be created, showing points like (0,5), (1,5), and (2,5), all lying on the same line. The equation can also be expressed as y = 5 + 0*x, indicating a slope of 0. Overall, the graph is straightforward and illustrates the concept of a constant function.
davie08
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Homework Statement



sketch the graph of the given linear function.
y=5


Homework Equations





The Attempt at a Solution


im unsure of how to do this one without having an x, would x just be undefined and y would be equal to 5.
 
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Make a table of values. For x = 0 y = ? x = 1, y = ? etc. then plot it.
 
LCKurtz said:
Make a table of values. For x = 0 y = ? x = 1, y = ? etc. then plot it.


ya but for this one wouldn't x just be undefined since its not given and then it would just be a horizontal line through y=5.
 
davie08 said:
ya but for this one wouldn't x just be undefined since its not given and then it would just be a horizontal line through y=5.

Yes it is a horizontal line through (0,5). It also passes through (1,5), (2,5), (3,5) etc. Just because x is missing in the equation doesn't mean x is "undefined". It is sort of trivial to list a table of values, but it would include the three points above plus as many others as you want. You could think of it as y = 5 + 0*x, a line with slope 0 and y intercept 5.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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