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Find the slope " 1.) " (8","-4)","(5","-1) m=(y_(2)-y_(1))/(x_(2)-x_(1))

Question

Find the slope " 1.) " (8","-4)","(5","-1) m=(y_(2)-y_(1))/(x_(2)-x_(1))

Find the slope " 1.) " (8","-4)","(5","-1) m=(y_(2)-y_(1))/(x_(2)-x_(1))

Solution

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SeymourProfessional · Tutor for 6 years

Answer

<p> -1</p>

Explain

<p> <br />1. The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by the formula:<br />\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]<br />2. Plugging in the given points \( (8, -4) \) and \( (5, -1) \):<br />\[ m = \frac{-1 + 4}{5 - 8} = \frac{3}{-3} = -1 \]<br />3. Therefore, the slope of the line passing through the points \( (8, -4) \) and \( (5, -1) \) is -1.<br /></p>
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