Choose the correct simplification of the expression:

the quantity a to the 3rd power over b to the 7th power all raised to the 2nd power.

a.) a to the 5th power over b to the 9th power
b.) a over b to the 14th power
c.) a to the 6th power over b to the 14th power
d.) a^6b^14

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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)