Values of x and g(x) are given in the table below. x 3.1 3.6 4.1 4.6 5.1 5.6 6.1 6.6 g(x) 3.8 4.8 5.4 5.8 6.4 7.8 9.4 11.4 for what value of x in the table is g '(x) closest to 3?

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)