The negative reciprocal of zero would be any undefined fraction.
0/x=0
negative reciprocal: -(x/0)= undefined.
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It is 0. But some people say 0 does not have a reciprocal.
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.
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.
0 has no reciprocal
The reciprocal of a number is 1 divide by that number - the reciprocal of -3 is 1/(-3), or -1/3. So, the negative reciprocal of -3 would be 1/3 (without the minus sign).