Equations of two diameters of a circle are \( 2x - 3y = 5 \) and \( 3x - 4y = 7 \). The line joining the points \( \left(-\frac{22}{7}, -4 \right) \) and \( \left( -\frac{1}{7}, 3 \right) \) intersects the circle at only one point \( P(\alpha,\beta) \). Then \( 17\beta - \alpha \) is equal to ________.
