Pregunta
The points \( (-8, w) \) and \( (-9,0) \) fall on a line with a slope of -7 . What is the value of \( w \) \( w= \) Submit
Ask by Morgan Cummings. in the United States
Feb 25,2025
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\( w = -7 \)
Solución
The slope between two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
For the points (-8, w) and (-9, 0) with a slope of -7, we have:
-7 = (0 - w) / (-9 - (-8))
-7 = (0 - w) / (-9 + 8)
-7 = (0 - w) / (-1)
Multiplying both sides by -1:
7 = 0 - w
So, -w = 7, which gives:
w = -7
Thus, the value of w is -7.
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Simplifique esta solución Extra Insights
To find the value of \( w \), we can use the formula for the slope between the points \( (-8, w) \) and \( (-9, 0) \): \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \] Plugging in our points \( (-8, w) \) and \( (-9, 0) \): \[ -7 = \frac{0 - w}{-9 - (-8)} \] This simplifies to: \[ -7 = \frac{0 - w}{-1} \] Multiplying both sides by -1 gives: \[ 7 = 0 - w \] Thus, we have: \[ w = -7 \] So, the value of \( w \) is \( -7 \).
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