Pregunta
Rewrite the following equation in slope-intercept form. \[ y+4=\frac{1}{3}(x+3) \]
Ask by Schneider Bird. in the United States
Dec 16,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( y=\frac{1}{3}x-3 \)
Solución
Convert the equation to the specified form.
Rewrite the equation by following steps:
- step0: Rewrite in slope-intercept form:
\(y+4=\frac{1}{3}\left(x+3\right)\)
- step1: Calculate:
\(y+4=\frac{1}{3}x+1\)
- step2: Move the constant to the right side:
\(y=\frac{1}{3}x-3\)
The equation \(y+4=\frac{1}{3}(x+3)\) can be rewritten in slope-intercept form as \(y=\frac{1}{3}x-3\).
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Simplifique esta solución Bonus Knowledge
To rewrite the equation \( y + 4 = \frac{1}{3}(x + 3) \) in slope-intercept form, you'll want to isolate \( y \). First, distribute the \( \frac{1}{3} \): \[ y + 4 = \frac{1}{3}x + 1 \] Next, subtract 4 from both sides to get \( y \) by itself: \[ y = \frac{1}{3}x + 1 - 4 \] This simplifies to: \[ y = \frac{1}{3}x - 3 \] Now it's in the slope-intercept form \( y = mx + b \) where \( m = \frac{1}{3} \) and \( b = -3 \).
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