Pregunta
Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. \( (-1,9) \) and \( (2,-3) \) Select the correct choice below and fill in the answer box within your choice. A. The slope is \( \square \). (Simplify your answer.) B. The slope is undefined. Indicate whether the line through the points rises, falls, is horizontal, or is vertical. The line rises from left to right. The line is horizontal. The line is vertical. The line falls from left to right.
Ask by Hill Fuentes. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
A. The slope is \( -4 \).
Indicate whether the line through the points rises, falls, is horizontal, or is vertical:
- The line falls from left to right.
Solución
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The Deep Dive
To find the slope of the line passing through the points \( (-1,9) \) and \( (2,-3) \), we can use the slope formula, which is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (-1, 9) \) and \( (x_2, y_2) = (2, -3) \). Plugging in the values: \[ m = \frac{-3 - 9}{2 - (-1)} = \frac{-12}{2 + 1} = \frac{-12}{3} = -4 \] So, the slope is \( -4 \). Now, for the direction of the line: since the slope is negative, we conclude that the line falls from left to right. A. The slope is \( -4 \). The line falls from left to right.
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