2015/054) What is the equation of a line perpendicular to $5x-6y=30$

The slope of the line $5x-6y = 30$ say $m_1$  is $\frac{5}{6}$
so slope of the line perpendicular to it say $m_2$ is  $\frac{-6}{5}$ as $m_1m_2 = -1$

so equation of line
= $6x + 5y = c# where c is a constant

as y intercept = 2 so y = 2 when x = 0
so it is $6x + 5y = 10$ is the equation