write an equation perpendicular to the given line through the given point: perpendicular to y=1/4x+3 through (4,1)
S1*S2 = -1 if slope perpendicular.
We know one of them is 1/4.
The other is -4 (The one we need)
Using point slope form:
y-1 = -4x + 16
y = -4x + 17 is your final answer. (check my work though, I might be wrong)
Key points: perpendicular slopes S1, S2 multiply to be -1.
point slope form: y-y1 = m(x-x1)