Graphing the Line Through $(1, -1)$ with Slope $\frac{3}{4}$

Graphing the Line with y-Intercept $2$ and Slope $-\frac{2}{3}$

Graphing the Line Through $(-1, -3)$ with Slope $4$

A facility manager is tracking the depletion of a cleaning supply over time. The supply starts with 10 gallons remaining at the beginning of a shift (Hour 0), and it is used at a constant rate (slope) of 2 gallons per hour. Arrange the following steps in the correct order to graph the line representing the remaining supply.

A field engineer is documenting the slope of a new pipeline. To accurately graph the pipeline's path starting from a known survey point, the engineer follows a standard four-step procedure. Match each step with the correct action required to visualize the line.

A small business owner is graphing their monthly profit growth on a coordinate plane. They have already plotted a point representing their profit at the end of Month 2. If the constant rate of profit growth is represented by a slope of 5/3, which value represents the 'run' (the horizontal shift) the owner must count out from the first point to locate the next point on the graph?

A project manager is graphing a line to represent the steady depletion of a budget over time. According to the standard four-step procedure for graphing a line given a known point and the slope, the manager should count out the 'rise' and 'run' starting from the origin (0, 0) to locate the second point on the line.

Interpreting Slope for Production Graphs

Visualizing Sales Performance Trends

Procedure for Graphing Production Output

A facilities manager is graphing the steady increase in electricity usage for a data center. Starting from a known data point on the coordinate plane, the manager uses the constant rate of increase (the slope) to locate a second point by counting out the vertical 'rise' and the horizontal '____'.

A quality control technician is graphing the rate of change in a machine's temperature. The slope of the line is provided as a fraction. To follow the standard procedure for locating the next point on the graph, the technician must recall that the vertical change (the 'rise') is represented by which part of the slope fraction?

A project manager is graphing the steady decrease in a project's contingency fund over time. The slope of the line is -2/7. Starting from a known data point, which direction should the manager move to correctly apply the 'rise' of -2 to locate the next point on the graph?

Graphing the Line Through $(2, -2)$ with Slope $\frac{4}{3}$

Graphing the Line Through $(-2, 3)$ with Slope $\frac{1}{4}$

Graphing a Line Perpendicular to a Given Line Through a Specific Point

Graphing a Line Parallel to a Given Line Through a Specific Point