-1/4
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-1/4
It would be the negative of the negative reciprocal. And since the negative of a negative is a posivie, it is the positive reciprocal.. For example, if the slope was -3, the other would be 1/3.
An expression with a negative exponent is equivalent to the positive exponent of its reciprocal. Thus, 3-4 = 1/34 or, equivalently, (1/3)4 or (3/4)-2 = (4/3)2
The negative reciprocal of zero would be any undefined fraction. 0/x=0 negative reciprocal: -(x/0)= undefined.
The negative reciprocal of any gradient gives the gradient of the line perpendicular to it. If you had a line of gradient 2, the negative reciprocal would be -1/2 Just change the sign on the number and flip the number/fraction to get the negative reciprocal.