What is the y intercept of the line whose equation is 3y=6x +12

The y-intercept b = 4.

Please also check the attached graph.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

where

Given the equation

3y = 6x + 12

Let us convert the equation into the slope-intercept form by dividing the equation by 3

y = 2x + 4

Thus, the equation into the slope-intercept form is:

y = 2x + 4

now comparing with the slope-intercept form of the line equation

Therefore, the y-intercept b = 4

Determining the y-intercept through Graph:

Please also check the attached graph of the equation  3y=6x +12.

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear that:

at x = 0, the value of y = 4

Thus, the point (0, 4) represents the y-intercept of the equation 3y=6x +12 where y = 4 is the y-intercept.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2