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8 sie 2023 · Another example of the slope-intercept form is studying latitudes and longitudes to find the directions and distances between two countries, States, cities, localities, etc. Finding the exact location of places using an equation and representing it on a graph helps study the distances and directions of two places.
11 kwi 2022 · You can have two types of vertices, warehouses and stores, and the edges that connect them can be weighted by either the physical distance between the two locations or by the cost to move the product from one location to another.
9 kwi 2024 · Example: Designing a Bridge. Suppose an engineer is designing a suspension bridge with a total length of 500 meters. The bridge’s height at the center must be 50 meters, and the height at the ends must be 10 meters. The bridge’s cross-section can be modeled using a linear equation in slope-intercept form.
30 sie 2022 · Finding the shortest or fastest route between two points on the map is certainly one of the most commonly used applications of graph theory. Graph theory has many applications in transportation planning, including modeling road networks, selecting efficient routes, and optimizing traffic flow.
Intro to slope. Positive & negative slope. Worked example: slope from graph. Graphing a line given point and slope. Worked example: slope from two points. Slope review. Parallel & perpendicular lines.
Example 3.3.1. Find the slope of the following line. First, choose two points on the line on this graph. Any points can be chosen, but they should fall on one of the corner grids. These are labelled (x1,y1) ( x 1, y 1) and (x2,y2). ( x 2, y 2). To find the slope of this line, consider the rise, or vertical change, and the run, or horizontal change.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Example: Compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
