Understanding Integer Solutions and Graphing a Line

The video tutorial explains how to find integer solutions for the equation y = -2/3x and graph the line. It starts by selecting x values that are multiples of three to ensure integer y values. The tutorial then calculates the corresponding y values for x = 0, 3, and 6, resulting in ordered pairs (0,0), (3,-2), and (6,-4). Finally, it demonstrates how to plot these points on a graph and draw the line representing the equation.

What is the equation we are trying to find integer solutions for?

• y = -3/2x

• y = 3/2x

• y = -2/3x

• y = 2/3x

Why do we choose x values that are multiples of 3?

• To make y values integers

• To simplify the equation

• To make y values fractions

• To make x values larger

What is the ordered pair when x is 0?

• (0, 2)

• (0, -2)

• (0, -3)

• (0, 0)

How do we simplify the expression -2/3 * 3?

• -2

• 0

• -1

• 1

What is the ordered pair when x is 3?

• (3, 0)

• (3, -3)

• (3, -2)

• (3, 2)

What is the ordered pair when x is 6?

• (6, -2)

• (6, 0)

• (6, -4)

• (6, 4)

What do the ordered pairs represent on the graph?

• Lines

• Points

• Curves

• Angles

Where is the origin located on the graph?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)

How do you move from the origin to plot the point (3, -2)?

• Left 3, Down 2

• Left 3, Up 2

• Right 3, Up 2

• Right 3, Down 2

What does the line passing through the points represent?

• The equation y = 2/3x

• The equation y = -2/3x

• The equation y = 3/2x

• The equation y = -3/2x