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The equation provided is \( y = -2x \). To find three integer solutions for this equation, we need to choose three integer values for \( x \) and then compute the corresponding \( y \)-values.

Let’s choose:

1. \( x = 0 \):
   \[
   y = -2(0) = 0
   \]
   So, one solution is \( (0, 0) \).

2. \( x = 1 \):
   \[
   y = -2(1) = -2
   \]
   So, another solution is \( (1, -2) \).

3. \( x = -1 \):
   \[
   y = -2(-1) = 2
   \]
   So, a third solution is \( (-1, 2) \).

Thus, the three integer solutions are \( (0, 0) \), \( (1, -2) \), and \( (-1, 2) \).

Would you like me to help you graph these points on the coordinate plane?

Here are some related questions for further understanding:

1. What happens to the \( y \)-values as \( x \) increases?
2. Can you find a general pattern in the equation \( y = -2x \)?
3. How would the graph change if the equation was \( y = 2x \) instead?
4. Can you explain why the points \( (0, 0) \), \( (1, -2) \), and \( (-1, 2) \) form a straight line?
5. What does the slope of the line \( y = -2x \) represent in real-world terms?

**Tip**: In any linear equation \( y = mx + b \), the coefficient \( m \) represents the slope of the line. The slope determines how steep the line is and the direction it moves.

Find three integer solutions to the equation y = -2x and graph the solution set.

Learn how to solve and graph the linear equation y = -2x by finding three integer solutions. This tutorial includes steps for selecting integer values for x and computing corresponding y-values, making it suitable for students in Grades 6-8.

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