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The slope of the line passing through the points (2, -1) and (x, 5) is -1. Find x?

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & {\text{Slope}} \Rightarrow m = - 1 \cr & m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}} \cr & - 1 = \frac{{5 - \left( { - 1} \right)}}{{x - 2}} \cr & - 1\left( {x - 2} \right) = 6 \cr & - x + 2 = 6 \cr & x = 2 - 6 \cr & x = - 4 \cr} $$
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