For each equation of the form \( y = mx + b \), the slope \( m \) is the coefficient of \( x \), and the y-intercept \( b \) is the constant term. Let's go through each equation you provided:
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\( y = -8x + 9 \)
- Slope: -8
- Y-intercept: 9
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\( y = -4x - 1 \)
- Slope: -4
- Y-intercept: -1
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\( y = 10x - 3 \)
- Slope: 10
- Y-intercept: -3
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\( y = 3x - 7 \)
- Slope: 3
- Y-intercept: -7
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\( y = 4x + 5 \)
- Slope: 4
- Y-intercept: 5
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\( y = -8x - 2 \)
- Slope: -8
- Y-intercept: -2
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\( y = x - 6 \)
- Slope: 1 (since it can be written as \( y = 1x - 6 \))
- Y-intercept: -6
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\( y = -9x + 5 \)
- Slope: -9
- Y-intercept: 5
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\( y = -3x + 8 \)
- Slope: -3
- Y-intercept: 8
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\( y = 7x + 4 \)
- Slope: 7
- Y-intercept: 4
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\( y = -2y - y \) can be simplified to \( y = -3y \), which needs rearrangement:
- Rearranging gives \( 4y = 0 \) (or \( y = 0 \)).
- Slope: 0 (horizontal line)
- Y-intercept: 0
- \( y = 6x + 13 \)
- Slope: 6
- Y-intercept: 13
In summary:
- \( m = -8, b = 9 \)
- \( m = -4, b = -1 \)
- \( m = 10, b = -3 \)
- \( m = 3, b = -7 \)
- \( m = 4, b = 5 \)
- \( m = -8, b = -2 \)
- \( m = 1, b = -6 \)
- \( m = -9, b = 5 \)
- \( m = -3, b = 8 \)
- \( m = 7, b = 4 \)
- \( m = 0, b = 0 \)
- \( m = 6, b = 13 \)
1 answer