Understanding Integer Solutions and Graphing Linear Equations

The video tutorial explains how to find integer solutions for the equation y = 2x - 3. It demonstrates selecting integer x values, calculating corresponding y values, and organizing them in a table. The tutorial then shows how to plot these points on a graph and sketch the line representing the equation. The process is broken down into clear steps, making it easy to understand and apply.

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

• y = x - 3

• y = 2x - 3

• y = 2x + 3

• y = 3x - 2

What form do the solutions to the equation take?

• x * y

• x - y

• x + y

• x, y

Which x values are selected to find integer solutions?

• x = 2, x = 3, x = 4

• x = -1, x = 0, x = 1

• x = 0, x = 1, x = 2

• x = 1, x = 2, x = 3

What is the y value when x equals 0?

• y = 0

• y = 1

• y = 3

• y = -3

What ordered pair is formed when x equals 1?

• (1, 2)

• (1, 0)

• (1, -1)

• (1, 1)

What is the y value when x equals 2?

• y = 0

• y = 3

• y = 2

• y = 1

Where is the point (0, -3) located on the graph?

• In the second quadrant

• In the first quadrant

• On the y-axis

• On the x-axis

How do you move from the origin to plot the point (1, -1)?

• Left 1, Up 1

• Right 1, Down 1

• Left 1, Down 1

• Right 1, Up 1

What is the final step in graphing the line?

• Calculating more points

• Erasing the points

• Connecting the points

• Plotting the points

What does the graph of y = 2x - 3 represent?

• A line

• A hyperbola

• A circle

• A parabola