Given: Point B is the midpoint of segment AC, and segment AC = 12 Prove: Segment AB = 6 Select the reason that best supports Statement 6 in the given proof. A. Distributive Property B. Substitution Statement: 1 AC = 12 2. B is the midpoint of AC 3. AB = BC . C. Division Property of Equality D. Subtraction Property of Equality 4. AB + BC = AC 5. AB + AB = AC 6. AB + AB = 12 7.2(AB) = 12 8. AB = 6 Reason: 1. Given 2. Given 3. Definition of a midpoint 4. Postulate 5. Substitution 6. [ ? ] 7. Algebra 8. Division Property of Equality

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)