Understanding Integer Solutions and Graphing

The video tutorial explains how to find integer solutions for the equation 3x - y = -1. It demonstrates solving the equation for different x-values (0, 1, and 2) to find corresponding y-values, resulting in ordered pairs. These pairs are then plotted on a graph to sketch the line representing the equation. The tutorial emphasizes that each solution is a point on the graph and provides a step-by-step guide to solving and graphing the equation.

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

• 3x - y = -1

• x - 3y = 1

• 2x - y = -3

• 2x + y = 1

What form do the solutions to the equation take?

• x, y

• x - y

• x + y

• x * y

When x = 0, what is the corresponding y-value?

• -1

• 0

• 2

• 1

What is the ordered pair solution when x = 0?

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 1)

What is the y-value when x = 1?

• 3

• -4

• 2

• 4

What is the ordered pair solution when x = 1?

• (1, 3)

• (1, 2)

• (1, 4)

• (1, -4)

What is the y-value when x = 2?

• 5

• 7

• 8

• 6

What is the ordered pair solution when x = 2?

• (2, 5)

• (2, 8)

• (2, 6)

• (2, 7)

How many points are needed to sketch a line?

• 1

• 2

• 3

• 4

What is the significance of the points (0, 1), (1, 4), and (2, 7) on the graph?

• They are random points.

• They do not lie on the line.

• They are solutions to a different equation.

• They are points on the line of the equation 3x - y = -1.