Sue's age is one year less than half her mother's age. the sum of their ages is 71 years. if x represents sue's age, which equation can be used to find her age? a.3/2x-1=71 b. 2x+1=71 c.2x+2=71 d. 3x+2=71

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)