On these questions about slopes on graphs

  a) {C, D}, {B, E}, A . . . . four possible equivalent answers (explanation below)

  b) Line C shows a "directly proportional" relationship

Step-by-step explanation:

Slope is the ratio of "rise" (vertical change) to "run" (horizontal change). Positive changes are "up" and "right".

Line A -- has no vertical change, so its slope is 0.

Line B -- changes 1 unit vertically for each 4 units horizontally, so its slope is 1/4.

Line C -- changes 1 unit vertically for each 2 units horizontally, so its slope is 1/2.

Line D -- changes 1 unit vertically for each 2 units horizontally, so its slope is 1/2. This is the same slope as line C, so neither is greater than the other.

Line E -- changes 1 unit vertically for each 4 units horizontally, so its slope is 1/4. This is the same slope as line B, so neither is greater than the other.

If we use alphabetical order to rank equal slopes, then the slopes (greatest to least) are ...

  C (1/2), D (1/2), B (1/4), E (1/4), A (0)

A "directly proportional" relationship graphs as a straight line through the origin. The only line passing through the point where the x- and y-axes meet is line C.

  Line C represents a proportional function.

the answer is 62.8 cubic units

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: