Answer:
Equation of line in slope-intercept form:

Step-by-step explanation:
Equation of a line in slope-intercept form is:
y = mx + c
where m is the slope and c is the y-intercept.
Given that (-3,5) passes through the line,hence:
5 = -3m+c ------------1
Also the line is perpendicular to 5x - 6y = 9.
Slope of a line ax+by+c=0 is 
Hence slope of 5x - 6y = 9 is 
Relation between slopes of two perpendicular lines:

Using above relation, m=
.
Substituting m = -6/5 in equation 1, we get:
c = 5 + 3(-6/5)

Putting m =
and c = 
we get:
