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so letamp;#39;s see how point addition actually works on an equation level so we want to add two points uh for that we have to find the line that goes through both of those points so we can do that by first calculating the slope of this line on the german stygone so we do that as we have learned in school and here denoted by s is the slope and then we can using the slope um derive the addition laws for getting the x and y coordinate of this point p q p plus q here you can see this one is inverted because weamp;#39;re gonna want to invert the whole thing um yeah so these are the formulas in the associated reading materials you can look up how they are made of but for our case thatamp;#39;s not so important problem is that this formula only works if the x-coordinate of p and the x-coordinate of q are distinct because if theyamp;#39;re not if the x-value of both points we want to add are the same we actually get a zero here right this will be zero and then we would have to divide by z