Question
Rewrite the given equations so that they are in slope-intercept form. \( (y=m x+b) \) 1. \( 7 x-14 y=-56 \) 2. \( -8 x-2 y=6 \) 3. \( 15 x+9 y=45 \)
Ask by Burns Mcfarlane. in the United States
Mar 17,2025
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Answer
Here are the equations in slope-intercept form:
1. \( y = \frac{1}{2}x + 4 \)
2. \( y = -4x - 3 \)
3. \( y = -\frac{5}{3}x + 5 \)
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To rewrite the given equations in slope-intercept form, follow these steps: 1. For \( 7x - 14y = -56 \): \[ -14y = -7x - 56 \] \[ y = \frac{1}{2}x + 4 \] 2. For \( -8x - 2y = 6 \): \[ -2y = 8x + 6 \] \[ y = -4x - 3 \] 3. For \( 15x + 9y = 45 \): \[ 9y = -15x + 45 \] \[ y = -\frac{5}{3}x + 5 \] So, the equations in slope-intercept form are: 1. \( y = \frac{1}{2}x + 4 \) 2. \( y = -4x - 3 \) 3. \( y = -\frac{5}{3}x + 5 \)