On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. the number b varies directly with the number a. for example b = 2b equals 2 and startfraction 3 over 4 endfraction. when a = –2a equals negative 2 and startfraction 3 over 4 endfraction.. which equation represents this direct variation between a and b?

b = –a
–b = –a
b – a = 0
b(–a) = 0

b=-a

Step-by-step explanation:

if the distance from origin 0 of b is the same as the distance of a from b but in opposite directions, this makes b differ from a by polarity but with similar values.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5