Which of the point-slope equations below are correct for the line that passes through points (6 5) and (3 3)?

To find the point-slope equation of the line passing through points (6, 5) and (3, 3), we first need to determine the slope (m). The slope is calculated as ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 5}{3 - 6} = \frac{-2}{-3} = \frac{2}{3} ). Using the point-slope form ( y - y_1 = m(x - x_1) ), we can use either point to write the equation: for point (6, 5), it becomes ( y - 5 = \frac{2}{3}(x - 6) ) and for point (3, 3), it becomes ( y - 3 = \frac{2}{3}(x - 3) ). Both equations are correct for the line.