Answer:
y -5 = -4(x -5)
Step-by-step explanation:
You want the line through (5, 5) that is perpendicular to one with slope 1/4.
Perpendicular lines
Perpendicular lines have slopes that are the opposite reciprocals of one another. Your desired line has slope ...
m = -1/(1/4) = -4
Point-slope equation
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For your line, you have m = -4, (h, k) = (5, 5), so the equation is ...
y -5 = -4(x -5)
