In the linear equation $y = \frac{1}{2}x + 3$, specific values represent different features of the line's graph. Match each value from the equation with the graphical feature it identifies.

A freelance contractor uses the linear equation $y = \frac{1}{2}x + 3$ to model the total cost ($y$) of a project based on the hours worked ($x$). According to the graph of this equation, what is the y-intercept, representing the baseline fee where the line crosses the vertical axis?

Identifying Slope in a Business Expense Model

A monthly membership for a fitness app costs y = rac{1}{2}x + 3, where $y$ is the total monthly cost and $x$ is the number of premium classes attended. In this linear model, the constant ${}3$ represents the base membership fee. When viewing the graph of this equation, this value identifies the point where the line intersects the vertical axis, a feature known as the ____.

A logistics coordinator uses the linear equation $y = \frac{1}{2}x + 3$ to model the total time required for a delivery route based on the number of stops. In the graph of this equation, the coefficient $\frac{1}{2}$ represents the y-intercept, which is the point where the line crosses the vertical axis.

A quality control technician is reviewing a calibration graph to ensure it matches the expected linear model, $y = \frac{1}{2}x + 3$. Arrange the following steps in the correct order to recall how the technician can systematically relate the visual features of the graph to the specific values in the equation.

Analyzing Cost Models in Logistics