Graphing Lines in Standard Form: Identifying X and Y-Intercepts

The video tutorial explains how to graph lines in standard form by identifying x and y-intercepts. It begins with an introduction to linear equations and their uses. The tutorial then provides a detailed example of graphing the equation 4x + 5y = 20 by finding intercepts and plotting points. Finally, it applies these concepts to a real-world problem involving seating arrangements at a dinner table, demonstrating how to determine possible combinations of adults and children that can fit.

What is the primary method used to graph lines in standard form?

• Identifying the x and y-intercepts

• Calculating the midpoint

• Using the slope and y-intercept

• Finding the vertex

In the equation 4x + 5y = 20, what is the y-intercept?

• (4, 0)

• (5, 0)

• (0, 5)

• (0, 4)

For the equation 4x + 5y = 20, what is the x-intercept?

• (0, 5)

• (4, 0)

• (5, 0)

• (0, 4)

In the dinner table problem, what is the maximum number of children that can fit at the table?

• 2

• 3

• 6

• 4

How many adults can fit at the table if there are no children?

• 2

• 4

• 3

• 6