Question : The slope of the line passing through the point (7, –2) and ($x$, 1) is $-\frac{3}{10}$. Find $x$.
Option 1: 4
Option 2: 2
Option 3: –4
Option 4: –3
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Correct Answer: –3
Solution : Given: Slope of the line passing through points (7, –2) and ($x$, 1) is $\frac{–3}{10}$. Slope of the line joining $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ $⇒\frac{-3}{10}=\frac{1-(-2)}{x-7}$ $⇒\frac{-3}{10}=\frac{3}{x-7}$ $⇒–3x+21=30$ $⇒–3x=9$ $⇒x=–3$ 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 $x$.
Question : What is the slope of the line parallel to the line passing through the points (5, – 1) and (4, – 4)?
Question : If $\frac{1}{6}$ of $x$ – $\frac{7}{2}$ of $\frac{3}{7}$ equals to $(-\frac{7}{4})$, then the value of $x$ is:
Question : If $(x+\frac{1}{x})=–2$, then the value of $(x^7+\frac{1}{x^7})$ is:
Question : If $\frac{x}{2}-\frac{\left [4\left (\frac{15}{2}-\frac{x}{3} \right ) \right ]}{3} = –\frac{x}{18}$ then what is the value of $x$?
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