b^x
In general the log and the exponential are inverses.
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Change its sign.
Swap the numerator and denominator. For example, the multiplicative inverse of 5/7 is 7/5
Write the equation of the line in the standrad form: y = mx + c The slope of this line is m The inverse of the slope is then 1/m. Note, that for a line perpendicular to the first, you need the negative inverse, not just the inverse. And the negative inverse of m is -1/m.
The inverse of an ordered pair (a,b) is the pair (b,a). So you simply switch the order.