A construction foreman is reviewing a blueprint for an accessibility ramp. On the coordinate system used for the site plan, the ramp's edge is represented by a line that passes through the points (0, 1) and (5, 4). Match each linear equation component with its correct value based on this specific graph.

A production manager is analyzing an equipment calibration graph where the performance line passes exactly through the points (0, 1) and (5, 4). Recalling the specific steps to extract a linear equation from a graph, which of the following represents the correct slope-intercept equation for this calibration line?

A city planner is mapping a straight footpath on a coordinate grid. The path begins at (0, 1) on the vertical axis and passes through a landmark located at (5, 4). Arrange the following steps in the correct order to determine the linear equation of the path in slope-intercept form, as described in the course materials.

Boundary Line Equation

A facility manager is reviewing a site blueprint where a straight electrical conduit is mapped between the coordinates (0, 1) and (5, 4). True or False: According to the process for finding the slope of this line, the vertical rise is 3 units and the horizontal run is 5 units.

Calibrating Climate Control Systems

An HVAC technician is calibrating a smart climate-control valve by plotting its voltage output against temperature on a coordinate system. The system's linear calibration profile starts at a $y$-intercept of (0, 1) and passes exactly through (5, 4). To program the system controller, the technician must find the slope, $m = \frac{\text{rise}}{\text{run}}$, of this calibration line. Starting at (0, 1), the line has a vertical rise of 3 units and a horizontal run of 5 units. The slope of this line, written as a simplified fraction, is ____.