Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 m\(_1\) = m\(_2\) condition for parallelism From 7x + 5y = 12 5y = -7x + 12 y = \(\frac{-7x}{5}\) + \(\frac{12}{5}\) m\(_1\) = \(\frac{-7}{5}\) = m\(_2\) equation of the line = y - y\(_1\) = m\(_2\)[x - x\(_1\)] y - 7 = \(\frac{-7}{5}\)[x - 5] 5(y - 7) = -7(x - 5) 5y - 35 = -7x + 35 5y + 7x = 35 + 35 5y + 7x = 70