Line j is perpendicular to the line with the given equation and the line j passes through p. write an equation of line j
y=3/5x+2
p(5,1)
note: i know the answer but i don't know the steps

Using the slope intercept formula, we can see that the slope of line p is 3/5.Since line j is perpendicular to line p it must have a slope that is the negative reciprocal(-5/3).Using the formula we can find the answer.j:y-1=-5/3(x-5)
Doing some math we get:5x+3y=28