Let's solve the equation \( Y = 2x - 3 \) for the given values of \( x \):

### For \( x = 1 \):
\[
Y = 2(1) - 3 
\]
\[
Y = 2 - 3 
\]
\[
Y = -1 
\]

### For \( x = 2 \):
\[
Y = 2(2) - 3 
\]
\[
Y = 4 - 3 
\]
\[
Y = 1 
\]

### Results:
- When \( x = 1 \), \( Y = -1 \).
- When \( x = 2 \), \( Y = 1 \).

Would you like more details or have any other questions?

### 5 Related Questions
1. What would \( Y \) be if \( x = 0 \) in the same equation?
2. How does the slope of \( Y = 2x - 3 \) affect the graph?
3. What is the \( x \)-intercept of the equation \( Y = 2x - 3 \)?
4. How would the line change if the equation were \( Y = 2x + 3 \)?
5. Can you find where this line intersects with another line, say \( Y = x + 1 \)?

### Tip
The slope in linear equations like \( Y = 2x - 3 \) represents how steep the line is. A larger slope means a steeper line.

Solve the linear equation Y = 2x - 3 for x = 1 and x = 2. This problem focuses on basic algebra and linear equations, providing step-by-step solutions. Learn how to calculate Y when given values for x, suitable for students in Grades 6-8.

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