Write an equation for a line that is perpendicular to f(x)=4x+5 and passing through the point (16,2)

Question

Write an equation for a line that is perpendicular to f(x)= 4x+5 and passing through the point (16,2)

Answer 1

this is a perpendicular line so the slope will be negative reciprocal -1/4

point slope form

y-y₁=m(x -x₁ )

plug y1 value 2 in the equation

y-2= -1/4(x-16)

y-2= -1/4x+4

y= -1/4x+6

Answer 2

Use point-slope form

(y - 2) = (-1/4)(x - 16)