Answer:
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
[tex]y = mx+b[/tex]
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.
