Find an equation of the line that is perpendicular to the line whose equation is 2x – 5y = 3 and passes through (-2, 7).

Easiest way:

An equation perpendicular to 2x - 5y = 3
must have the form
5x + 2y = c

plug in our given point on this line:
5(-2) + 2(7) = c = 4

5x + 2y = 4