SOLUTION: I need to explain in detail how to solve the following problem: find the slope and y intercept of the given line X-7=0. Thanks in advance.

Algebra ->  Functions -> SOLUTION: I need to explain in detail how to solve the following problem: find the slope and y intercept of the given line X-7=0. Thanks in advance.      Log On


   



Question 519829: I need to explain in detail how to solve the following problem: find the slope and y intercept of the given line X-7=0. Thanks in advance.
Found 2 solutions by jim_thompson5910, oberobic:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since y is not present, this means that this is a vertical line. So the slope is undefined and there is no y-intercept.



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Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x -7 = 0
x = 7
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So, no matter what value 'y' takes on, from -infinity to +infinity, x = 7.
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m = slope = change in y / change in x
But, there is no change in 'x' so the slope would require you to divide by 0.
Dividing by 0 is undefined.
A line that has an undefined slope is a vertical line.
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The y-intercept is the corresponding point where x=0.
But 'x' never = 0, so there is no y-intercept: They never cross.
The vertical line x=7 is parallel to the y-axis.
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The x-intercept is the corresponding point where y=0.
This occurs at (7,0).
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Note that x = 7 is not function because a function requires each of the 'x' values (the domain) to map to one 'y' value (the range). Clearly, that is not the case with x=7.
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Hope that is enough details.