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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Question : The slope of the line passing through the points (2, –1) and ($x$, 5) is –1. Find $x$.
Option 1: 4
Option 2: –4
Option 3: –8
Option 4: 8
Question : The slope of the line passing through the point (7, –2) and ($x$, 1) is $-\frac{3}{10}$. Find $x$.
Option 2: 2
Option 3: –4
Option 4: –3
Question : What is the reflection of the point (–3, 1) in the line $x=-2$?
Option 1: (–1, 1)
Option 2: (–3, –5)
Option 3: (1, 1)
Option 4: (–3, 5)
Question : The value of $5–\frac{8+2\sqrt{15}}{4}–\frac{1}{8+2\sqrt{15}}$ is equal to:
Option 1: $\frac{1}{4}$
Option 2: $1$
Option 3: $\frac{2}{3}$
Option 4: $\frac{1}{2}$
Question : What is the reflection of the point (5, 3) in the line $y = –2$?
Option 1: (– 9, 3)
Option 2: (– 5, – 7)
Option 3: (– 9, – 3)
Option 4: (5, – 7)
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