Isolate the y to turn the line into slope intercept form -
[tex]y = - 5x - 27[/tex]
Now, to find a line perpendicular to that, it has to be its negative reciprocal; turn the fractionupside down and positive turns to negative whilst negative turns to positive. So, the perpendicular slope of - 5 is 1/5. Now use the point slope formula to insert the point (-5,-3) to find the y intercept (b). It's -2. So the answer is
[tex]y = \frac{1}{5}x - 2[/tex]
