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The slope of a line between Points 1 and 2 is defined as m = (Y2 - Y1) / (X2 - X1) where coordinates for Point 1 is (X1,Y1) and Point 2 is (X2,Y2). So if the value of Y2-Y1 = 0 then the Slope is zero. If the value of X2 - X1 = zero then the equation is undetermined because you can't solve an equation with a 0 value in the denominator. or m = (Y2 - Y1) / 0

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