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.

What is the slope of the line Jack needs to follow to reach his boat?

• 2/3

• -2/3

• 3/2

• -3/2

How do you determine the slope of a line on a coordinate grid?

• By using a protractor

• By measuring the distance between two points

• By finding the rise over the run between two points

• By counting the number of grid squares

If a line passes through the point (2, -4) with a slope of -2, what is the next point on the line?

• (3, -6)

• (1, -6)

• (3, -2)

• (1, -2)

What is the correct way to graph a line with a slope of 1/2 starting from the point (-2, 3)?

• Go up 2 and right 1 from the origin

• Go up 1 and right 2 from the origin

• Go up 1 and right 2 from (-2, 3)

• Go up 2 and right 1 from (-2, 3)

What mistake do students often make when graphing a line with a given point and slope?

• Starting from the origin instead of the given point

• Not plotting the point on the grid

• Connecting the points incorrectly

• Using the wrong slope