Understanding Integer Solutions and Graphing

The video tutorial explains how to find integer solutions for the equation y = -3 and graph the resulting line. It demonstrates that y must always be -3, while x can be any integer. The tutorial provides three ordered pair solutions: (0, -3), (1, -3), and (2, -3), and shows how to plot these points on a coordinate plane. The video concludes by explaining that any equation in the form y = c results in a horizontal line on the graph.

What is the form of each solution to the equation y = -3?

• A decimal

• A fraction

• An ordered pair

• A single number

In the equation y = -3, what must the value of y always be?

• Any integer

• Any real number

• -3

• 0

Which of the following is a valid integer solution for x in the equation y = -3?

• -1.5

• 3.2

• 1

• 0.5

What is the ordered pair solution when x = 0 for the equation y = -3?

• (0, 0)

• (0, -3)

• (0, 3)

• (3, 0)

How do you plot the point (1, -3) on a coordinate plane?

• Move left 1, up 3

• Move right 1, up 3

• Move left 1, down 3

• Move right 1, down 3

What is the direction of the line formed by the equation y = -3?

• Curved

• Vertical

• Diagonal

• Horizontal

What does the equation y = c represent on a graph?

• A vertical line

• A horizontal line

• A diagonal line

• A curved line

If y = -3, which axis does the line pass through?

• x-axis

• y-axis

• z-axis

• None

What is the general form of a horizontal line equation?

• w = c

• z = c

• y = c

• x = c