Final answer:
To find the value of 'k' in the equation 'y = 3/12x + k', additional information such as a specific point on the line is required, as 'k' represents the y-intercept. Without this, we cannot determine the exact value of 'k'.
Step-by-step explanation:
The question asks us to find the value of k in the linear equation y = 3/12x + k. To find the value of k, we would typically look for a specific point that lies on the line represented by the equation, as k represents the y-intercept, which is the value of y when x is 0.
However, without a specified point or further information, we cannot determine the exact value of k from the equation alone. The equation is already in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. In this case, we can simplify the slope to be 3/12 = 1/4, but we need additional information such as a point on the line to find the exact value of k. Therefore, the answer cannot be definitively provided without this information.