How do you find the slope for x-5 = 0x−5=0?

1 Answer
Alan P.
Jun 10, 2015

The slope of x-5=0x−5=0 is "undefined".

Explanation:

x-5 =0x−5=0
or equivalently x = 5x=5
is a vertical line.

Slope for any two points (x_1,y_1) and (x_2,y_2)(x1,y1)and(x2,y2) is defined as
(y_2-y_1)/(x_2-x_1)y2−y1x2−x1

x_2 and x_1x2andx1 must both be =5=5 based on the equation
so any attempt to evaluate the slope results in an attempt to divide by zero.

x-5=0x−5=0 is a vertical line

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