As a budget analyst, you are using the linear equation ${}3x - 4y = 12$ to model the trade-off between purchasing two types of office equipment. To graph this constraint using the standard intercept method, what are the exact coordinates of the x-intercept and y-intercept you must plot?

An urban planner is using the linear equation ${}3x - 4y = 12$ to represent the boundary of a new park on a coordinate grid. Match each graphing component used in the intercept method to its correct coordinate.

Precision Blueprinting and Verification

An inventory manager is graphing a cost allocation equation, ${}3x - 4y = 12$, using the intercept method for a quarterly presentation. True or False: To find the y-intercept for this model, the manager should set $x$ to ${}0$, which results in the exact coordinate $(0, -3)$.

Workstation Layout Alignment Check

An operations planner is modeling warehouse space allocation constraints using the linear equation ${}3x - 4y = 12$. To graph this line using the intercept method, they decide to calculate a third coordinate checkpoint for verification. Assuming a chosen y-value of 3, the planner solves the equation for the corresponding x-coordinate. The complete ordered pair representing this third checkpoint, formatted as (x, y), is ____.