Which equation best describes the same line as y - 6 = -4(x+1)

y - 6 = -4(x+1) is equivalent to equation C:  y       =  -4x + 2

Step-by-step explanation:

Solve the given y - 6 = -4(x+1) for y and remove the parentheses shown:

y - 6 = -4(x+1) becomes

y       = -4(x + 1) + 6, or

y       = -4x - 4 + 6, or

y       =  -4x + 2    This is equivalent to equation C.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb