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Find the slope of the given line, if it is defined. The line through the origin and \( (-6,6) \) Select the correct choice below and, if necessary, fill in the answer box to complete you A. The slope equals \( \square \). 2.2 .5 (Simplify your answer.) B. The slope is undefined.

Ask by Carroll Davies. in the United States
Feb 19,2025

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A. The slope equals \(-1\).

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To find the slope of the line passing through the origin \( (0,0) \) and the point \( (-6,6) \), we use the slope formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Plugging in the coordinates, we get \( m = \frac{6 - 0}{-6 - 0} = \frac{6}{-6} = -1 \). So, the slope equals -1. A. The slope equals \( -1 \).

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