Johnson Ingram
03/09/2024 · Senior High School
Graph: \( -3 y+2 x=9 \)
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To graph the equation \( -3y + 2x = 9 \), follow these steps:
1. **Rewrite in Slope-Intercept Form**:
\[
y = \frac{2}{3}x - 3
\]
- **Slope (\( m \))**: \( \frac{2}{3} \)
- **Y-intercept (\( b \))**: \( -3 \)
2. **Find Intercepts**:
- **Y-intercept**: \( (0, -3) \)
- **X-intercept**: \( \left(4.5,\ 0\right) \)
3. **Plot Points and Draw the Line**:
- Plot \( (0, -3) \) and \( \left(4.5,\ 0\right) \).
- Draw a straight line through these points.
The graph is a straight line with a slope of \( \frac{2}{3} \) and a y-intercept at \( -3 \).
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