To find the slope \( m \) of a line using the triangle method, we need to determine the rise (change in y) and the run (change in x).
From your description:
- The starting point on the x-axis is at \( x = -4 \).
- The vertical rise is described as "2 units above her" (which we can interpret as a rise of 2 units).
- The peak of the triangle (end point) is at \( x = 3 \).
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Determine the run (change in x): \[ \text{Run} = 3 - (-4) = 3 + 4 = 7 \]
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Determine the rise (change in y): Since it rises 2 units, \[ \text{Rise} = 2 \]
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Calculate the slope \( m \): \[ m = \frac{\text{Rise}}{\text{Run}} = \frac{2}{7} \approx 0.285714 \]
Rounding to the nearest hundredth: \[ m \approx 0.29 \]
Thus, the slope \( m \) of the line is \( \boxed{0.29} \).
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