

The slope of the line joining the points (2, 5) and (-3, 6) is
m = (6 - 5)/(-3 - 2)
=> m = -1/5
Since the required line is perpendicular to the line joining the points (2, 5) and (-3, 6)
So, slope of required line = -1/m = -1/(-1/5) = 5
Again given line is passing througth the point (3, -5)
Now, equation of line is
y - 5 = 5(x + 3)
=> y - 5 = 5x + 15
=> 5x + 15 - y + 5 = 0
=> 5x - y + 20 = 0
This is the required equation of line.
