Find the slope of the line that r ((1)/(2),-(4)/(3)) and ((7)/(15),(4)/(3)) Find the value of 'r'so that t

To find the slope of the line passing through the points \((\frac{1}{2}, -\frac{4}{3})\) and \((\frac{7}{15}, \frac{4}{3})\), we use the slope formula: Here, \((x_1, y_1) = (\frac{1}{2}, -\frac{4}{3})\) and \((x_2, y_2) = (\frac{7}{15}, \frac{4}{3})\).Substitute these values into the formula: Simplify the numerator: Now, simplify the denominator: To subtract these fractions, find a common denominator. The least common multiple of 15 and 2 is 30.Convert to a fraction with a denominator of 30: Convert to a fraction with a denominator of 30: Now subtract the fractions: So the slope is: Therefore, the slope of the line passing through the given points is .