Question 1107474
Slope intercept form for a line is:
y = mx + b   

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Also., if two lines are perpendicular, their slopes {{{m[1]}}} and {{{m[2]}}} are related by:
  {{{m[1] = -1/m[2] }}} 
(that is, they are negative reciprocals of each other) 


The given line has slope {{{ m[1] = 5 }}}

So the line you want to find has slope {{{ m[2] = -1/5 }}}
The equation of that line can now be written
y = (-1/5)x + b

We need to find b.   You can find b by using the fact that the line passes through (5,-3)
-3 = (-1/5)(5) + b 

Solve for b and you have the complete equation for the line.