63. ((1)/(2),(1)/(3)) and ((3)/(2),(5)/(3))

To determine the relationship between the two points \((\frac{1}{2}, \frac{1}{3})\) and \((\frac{3}{2}, \frac{5}{3})\), we can calculate the slope of the line that passes through these points.The formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: Substituting the given points \((\frac{1}{2}, \frac{1}{3})\) and \((\frac{3}{2}, \frac{5}{3})\): Simplify the numerator and the denominator: So, the slope of the line passing through the points \((\frac{1}{2}, \frac{1}{3})\) and \((\frac{3}{2}, \frac{5}{3})\) is .This means that the line has a positive slope and rises 4 units for every 3 units it moves horizontally.