Question 738551
given line:  {{{y=-(5/3)x+3}}}...compared to {{{slope-intercept}}} form {{{y=mx+b}}}, you see that slope {{{m=-(5/3)}}}

the slope of a line perpendicular to given line will have a slope {{{m[p]=-1/m}}}

so, a slope is {{{m[p]=((-1)/(-5/3))}}} => {{{m[p]=(-1*3)/-5}}}  => {{{m[p]=3/5}}}