How do you find the slope of the line that passes through (6,-10), (6,14)?

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Answer 1 · 2016-11-23T14:17:58

The slope is undefined (infinitely steep).

For #(x_1;y_1) and (x_2;y_2)#

#(6,-10) and (6,14)#

The equation for a line is #(y_2-y_1) =m(x_2-x_1)#

Which leads to #m = (y_2-y_1)/(x_2-x_1)#

So, substituting

# m= [14-(-10)]/(6-6)#

#m = 24/0 = ∞#

The line is vertical, the slope is undefined, or infinity

That means the line belongs to family of line x=constant,
in this case, #" " x=6#