Question 255256
Find the equation of each line in the form y  mx  b if
possible.

The line through (3, 2) with undefined slope


You are given a big clue in this problem and here it is:  You are told the line has an undefined slope.  An undefined slope means you have a VERTICAL line.  


All vertical lines have an UNDEFINED slope.  All vertical lines also have the equation of x = a number.

All horizontal lines have a slope of 0.  All horizontal lines also have an equation of y = a number.


Therefore, consider your info that the line runs through (3, 2).  Remember that in this situation, x is  equal to 3 and y is equal to 2.  


Soooooo, since your vertical line equation is always x = a number, then the equation is pretty easy.  The equation is just x = 3.  Think about that vertical line. Here are some of the points on that line: 


(3, 2)
(3, 1)
(3, -1)
(3, 30)
(3, -45)


ALL of the points above are on that vertical line, as long as X remains equal to 3.


You can't really put this line in the y = mx + b format, because in that format, "m" is the slope and in this case, as you know, the slope is undefined.  


I hope this helps. :-)