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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