To find the y-intercept of a line represented by a linear equation, we need to determine the value of y when x is equal to 0.
The equation we are given is 3y = x. We want to solve for y when x = 0.
Setting x to 0, we have:
3y = 0
Now we divide both sides of the equation by 3 to solve for y:
y = 0 / 3
y = 0
Therefore, the y-intercept of the line, which is the value of y when x equals 0, is indeed 0.
Based on this, the statement 'The y-intercept of the line 3y = x is 0' is True.