Asolar heating system cost $25,000 to install with a yearly operating cost of $300. an electric heating system cost $6,500 to install but incurs a yearly operating cost of $4,000. how many years will pass before the total cost of the solar heating system is less than the total cost of the electric heating system?

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)

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.