Given that Y= 3x – 8, what is the sum of the gradient and intercept of the linear equation? *

- 5

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope (gradient) and c the t- intercept )

y = 3x - 8 ← is in slope- intercept form

with gradient m = 3 and y- intercept c = - 8 , thus

m + c = 3 + (- 8) = 3 - 8 = - 5

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