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5x - 15y = 20
Rearrange in order to make y the subject
15y = 5x - 20
Divide by 15 by the whole to isolate y
[tex] \frac{15y=5x-20}{15} [/tex]
y = [tex] \frac{1}{3}x[/tex] - [tex] \frac{4}{3} [/tex]
The slope of this equation is [tex] \frac{1}{3} [/tex]
The slope of the perpendicular will be negative reciprocal = -3
Your answer is option B = -3
