SOLUTION: Find the equation of each line in the form y mx b if possible. The line through (3, 2) with undefined slope

Question 255256: Find the equation of each line in the form y mx b if
possible.
The line through (3, 2) with undefined slope
Answer by PRMath(133) (Show Source): You can put this solution on YOUR website!
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. :-)
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