How do I know what's the slope and others if it doesn't have much?

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Nov 7th, 2015

Thank you for the opportunity to help you with your question!

For  y = 6,  this is a linear equation.  Recall the slope-intercept form equation:  y = mx + b

This can be rewritten as  y = 0*x + 6   where m = 0 and b = 6  Here the x-intercept does not exist.  

The y-intercept is b, which is b = 6     We see that y = 6 is a horizontal line that goes through the point (0, 6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), etc...


For x = -4  this is a different situation.  We cannot write it in slope-intercept form  y = mx + b, because what becomes of the y variable?  If we try to find the slope of this line  pick two points say  (-4, 1) and (-4, 2)

The slope would be  m = (2-1)/(-4 - (-4))  = 1/0  which is UNDEFINED. 

 We have a vertical line here with x-intercept -4.  

There is no y-intercept.  The vertical line x = -4 goes through points (-4,0), (-4, 1), (-4, 2), (-4, 3), etc.


Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 7th, 2015

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