A logistics coordinator is using a coordinate system to map the path for a new automated transport vehicle in a warehouse. The vehicle must travel in a straight line that passes through the points $(-2, -4)$ and $(1, -3)$. To program the vehicle's path, the coordinator must determine the line's equation. Arrange the following steps in the correct order to find the equation of the line.

A network technician is documenting the path of a fiber optic cable that follows a linear trajectory on a site map. The cable passes through reference point $A$ at $(-2, -4)$ and reference point $B$ at $(1, -3)$. Which of the following equations correctly represents the path of this cable in slope-intercept form?

An urban planner is mapping a straight transit line between two stations located at coordinates $(-2, -4)$ and $(1, -3)$. According to the two-points procedure for finding the equation of a line, the slope ($m$) of this transit path is ____.

A network infrastructure engineer is mapping a linear path for a fiber-optic cable between two connection hubs. Hub $A$ is located at coordinates $(-2, -4)$ and Hub $B$ is at $(1, -3)$. Using the two-points procedure described in the technical manual, match each linear equation component with its correct value derived from this specific path.

A machinist is programming a CNC machine to make a linear cut across a piece of material, passing exactly through the coordinates $(-2, -4)$ and $(1, -3)$. Following the two-points procedure, the correct equation for this linear path in slope-intercept form is $y = \frac{1}{3}x - \frac{10}{3}$.

Property Boundary Line Equation

Documenting Path Alignment Formulas for Utility Infrastructure