A small business owner is tracking their monthly profit trends. A graph of their profit shows a straight line that crosses the vertical y-axis at -4 (representing an initial debt of $4,000) and has a slope of 2/3 (representing a profit increase of $2,000 every 3 months). According to the slope-intercept form y = mx + b, which equation correctly represents this profit trend?

A project manager is analyzing a linear trend on a performance report. To determine the equation of the line from the graph using the slope-intercept method, arrange the following steps in the correct order as outlined in the course materials.

An operations manager is analyzing a cost-efficiency graph to develop a mathematical model for the company. Match each component or step of the 'finding the equation of a line' process with its correct description based on the graph.

A retail manager is reviewing a graph of store credit trends. The line on the graph crosses the vertical y-axis at -4 and has a slope of 2/3. The manager determines that the equation for this line in slope-intercept form is $y = -4x + \frac{2}{3}$. Is this equation correctly written?

Documenting Delivery Performance Trends

A facility manager is documenting the efficiency of a heating system using a performance graph. The line on the graph crosses the vertical y-axis at -4 and passes through the point (3, -2). The manager identifies the slope (m) as 2/3 and the y-intercept (b) as -4. To complete the report, the manager must substitute these values into the slope-intercept formula to write the final equation: y = ____.

Standardizing Linear Modeling Procedures

Analyzing Utility Cost Efficiency

A logistics coordinator is analyzing a delivery performance graph. To determine the linear equation (y = mx + b) for the trend, the coordinator calculates the 'rise over run' by dividing the change in delivery time by the change in distance. Which variable in the formula does this calculation provide?

A field engineer is determining the slope of a line on a technical graph using the 'rise over run' method. Which of the following correctly describes the 'rise' in this calculation?

Finding the Equation of a Graphed Line Passing Through $(0, 1)$ and $(5, 4)$

Finding the Equation of a Graphed Line Passing Through $(0, -5)$ and $(3, -1)$