Answer:
y -4 = 5/6(x -3)
Step-by-step explanation:
The slope of a perpendicular line is the negative reciprocal of the slope of the given line. The equation of the given line is in a form that looks like point-slope form:
y -k = m(x -h) . . . . . . with point (h, k) = (5, -3) and slope m=-6/5
The slope of the perpendicular line will be ...
m = -1/(-6/5) = 5/6
The perpendicular line goes through point (h, k) = (3, 4), so its equation in point-slope form will be ...
y -4 = 5/6(x -3)
