Graphing Lines Using a Point and Slope

The video tutorial teaches how to graph a line using a point and its slope. It begins with a practical problem involving Jack's journey from his camp to a boat, illustrating the concept of graphing a line. The lesson explains how to determine the slope by identifying two points on a coordinate grid and calculating the rise over run. It provides examples of graphing lines with specific points and slopes, addresses common mistakes, and emphasizes starting from the given point rather than the origin. The tutorial concludes by solving Jack's path problem using the graphing method.

Explain how to determine the slope of a line using the rise and run.

How do you graph a line that goes through the point (2, -4) with a slope of -2?

What are the coordinates of the point where Jack starts his journey?

Describe the steps Jack takes to reach his boat from his starting point.

What mistake do students commonly make when graphing a line with a given slope?