| If the slope of a line passing through the points A (2,5) and B (x, 3) is 2, then x is equal to |
A) 1
B) 2
C) \[-1\]
D) \[-\,2\]
Correct Answer: A
Solution :
| \[\because \]Slope \[=\,\,\frac{{{y}_{2}}-{{y}_{2}}}{{{x}_{2}}-{{x}_{1}}}\] |
| Then, \[2=\frac{3-5}{x-2}\] |
| \[\Rightarrow \] \[2x-4=-2\] |
| \[\Rightarrow \] \[2x=2\,\,\Rightarrow \,\,x=1\] |
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