Question 224247
Write the slope intercept form of the equation of the line through the given point with the given slope.

through: (2,5), slope=undefined


Step 1.  When you see the slope is undefined then the line is a vertical line or at x=a where a is the x-intercept.  An undefined slope means the slope is too large to describe or m is infinity.


Step 2.  For (2,5), then x=2 and y=5.


Step 3.  ANSWER:  The equation of the line is x=2 ( a vertical line)


We note that a line in slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).  But the slope is undefined in this case.  


I hope the above steps and explanation were helpful.


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Respectfully,
Dr J

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