Andrew M. answered • 01/30/18

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

perpendicular to f(x) = 3x-7 through (2,6)

f(x) is in slope intercept form of y=mx + b where y represents f(x)

The slope of f(x) is m = 3

The slope of a perpendicular line will have slope -1/m = -1/3

equation of line through (2,6) with slope -1/3

f(x) = (-1/3)x + b

Using (2,6) as (x, f(x)) find b

6 = (-1/3)(2) + b

b = 6 2/3 or 20/3

**f(x) = (-1/3)x + 20/3**