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find the slope (-6,-9),(-6,6)

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when given two points on a line, the easiest way to calculate the slope is take the difference of the y in point 1 minus y in point 2 and divide that by the differences of the x's
 
m - slope
p1 - (-6,-9)  ⇒ x1 = -6  and y1 = -9
p2 - (-6,6)  ⇒  x2 = -6 and y2 = 6
 
m = (y1-y2)/(x1-x2)
 
Substituting in the values for x1, x2, y1, y2
 
you get
 
m = ((-9)-6)/((-6)-(-6)) = -15/(-6+6) = -15/0  ⇒ undefined
 
hmm but we can't divide by zero, which is of course why this slope value is "undefined"
 
This is a unique line that is vertical or parallel to the y-axis