A logistics coordinator is analyzing a cost model for shipping two types of packages. The relationship is modeled by the equation $-x + 3y = 6$. When using the intercept method to graph this relationship on a coordinate grid, what are the exact coordinates of the $x$-intercept and the $y$-intercept?

An office manager is analyzing a supply chain model represented by the linear equation $-x + 3y = 6$. To visualize this relationship on a coordinate grid, the manager uses the intercept method. Arrange the following steps in the correct chronological order to graph the line according to the standard procedure.

An operations technician is graphing the linear equation $-x + 3y = 6$ to model resource distribution. To ensure the line is drawn accurately, the technician calculates a third solution point. If the technician substitutes $x = -3$ into the equation, the resulting $y$-coordinate is ____.

A logistics coordinator is modeling transport costs using the linear equation ${}-x + 3y = 6$. To prepare a cost-distribution graph for the operations team, the coordinator must identify key points on the coordinate plane. Match each graphical feature of the equation to its corresponding coordinate point.

A resource analyst is modeling production costs using the linear equation ${}-x + 3y = 6$. When using the intercept method to graph this line, the analyst determines that the $x$-intercept is located at the coordinate point $({}6, 0)$.