Question : What is the slope of the line parallel to the line passing through the points (5, – 1) and (4, – 4)?
Option 1: $– 3$
Option 2: $\frac{–1}{3}$
Option 3: $3$
Option 4: $\frac{1}{3}$
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Correct Answer: $3$
Solution : Given: The points are (5, –1) and (4, –4). $\text{Slope}=\frac{y_2–y_1}{x_2–x_1}$ Substitute the given values in the above formula, we get, $\frac{–4–(–1)}{4–5}=\frac{–3}{–1}$ So, the slope of the given line is 3. The slope of the line parallel to this line is also the same. Hence, the correct answer is $3$.
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