Question 593948
"Line l is perpendicular to a line with slope -5" which means that the slope of line l is {{{m = -1/(-5) = 1/5}}}


Since it goes through the origin, the y-intercept is (0,0). 



So in terms of {{{y=mx+b}}}, {{{m=1/5}}} and {{{b = 0}}}



Answer:


<img src="http://latex.codecogs.com/gif.latex?\large \text{Equation of line } \ell: \ \ y = \frac{1}{5}x" title="\large \text{Equation of line } \ell: \ \ y = \frac{1}{5}x" />