Factor the gcf: −6x3y + 9x2y2 − 12xy3

a. 3xy(−2x^2 + 3xy − 4y^2)
b. −3xy(2x^2 + 3xy − 4y^2)
c. −3xy(2x^2 − 3xy + 4y^2)
d. −3(2x3y − 3x^2y^2 + 4xy^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)