Equation through (5,7) parallel to the line 7x + 5y = 12 5y = 7x + 12 y = \(\frac{-7x}{5} + \frac{12}{5}\) Gradient = \(\frac{-7}{5}\) Required equation = \(\frac{y - 7}{x - 5} = \frac{-7}{5}\) i.e. 5y - 35 = -7x + 35 5y + 7x = 70