Answer:
First option
Step-by-step explanation:
Slope of the given equation = 5/3
Slope of perpendicular line will be -ve of reciprocal of the given slope
Therefore slope of perpendicular line = -3/5
let's apply point slope formula
[tex](y - y _{1}) = m(x - x _{1})[/tex]
point is (5,-2) and slope m = -3/5
[tex]y - ( - 2) = \frac{ - 3}{5} (x - 5) \\ y + 2 = \frac{ - 3}{5} (x - 5) \\ y + 2 = \frac{ - 3}{5} x + 3 \\ y = \frac{ - 3}{5}x + 1[/tex]
