Elena began to solve this equation: 12x + 6(4x + 3) =2(6x + 4) – 2

3
12x + 6(4x + 3) = 3(2(6x + 4) - 2)
12x + 6(4x + 3) = 6(6x+ 4) – 6
12x + 24x + 18 = 36x + 24 - 6

When she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell?

They have the same slope and y intercept after combining like terms, they are the same line and have infinetely many solutions.

Step-by-step explanation:

If you combine like terms it would give you 36x + 18 = 36x +18,

nThat's infinetely many solutions since they have the same slope and y-intercepts, therefore they are the same line.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4