Write the equation of the line that passes through the points (-1, -2), (2, 7).

y+2=3(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(7-(-2))/(2-(-1))

m=(7+2)/(2+1)

m=9/3

m=3

y-(-2)=3(x-(-1))

y+2=3(x+1)

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