Sketching Equations and Plotting Points

In this tutorial, Paul demonstrates how to sketch the equation y=2x by plotting points in the x-y coordinate system. He explains the process of selecting x values, calculating corresponding y values, and plotting these points on a graph. The tutorial concludes with connecting the plotted points to form a line, illustrating the equation y=2x.

What is the main focus of this tutorial?

• Learning about matrices

• Solving quadratic equations

• Sketching equations by plotting points

• Understanding complex numbers

Which equation is being used in this tutorial?

• y = x + 2

• y = 2x

• y = 2x + 1

• y = x^2

What are the chosen x values for plotting?

• -1, 0, 1, 2, 3

• 0, 1, 2, 3, 4

• -2, -1, 0, 1, 2

• -3, -2, -1, 0, 1

How do you find the corresponding y value for x = -2?

• y = 2 * -2 = -4

• y = -2 + 2 = 0

• y = 2 - 2 = 0

• y = -2 * 2 = -2

What is the y value when x = 0?

• 4

• -2

• 0

• 2

What is the ordered pair for x = 1?

• (1, 2)

• (1, 1)

• (1, -2)

• (1, 0)

What is the y value when x = 2?

• 2

• 0

• 4

• -4

How many points are plotted to sketch the line?

• 3

• 4

• 6

• 5

What is the first step in plotting the points on the coordinate system?

• Calculate slope

• Connect the dots

• Choose y values

• Start at the origin

What is the ordered pair for the point where x = -1?

• (-1, -2)

• (-1, 0)

• (-1, 2)

• (-1, -1)