A) \[-2\]
B) \[-1\]
C) \[2\]
D) \[1\]
E) \[0\]
Correct Answer: A
Solution :
The equation of straight line passing through the points\[\left( -\frac{1}{2},1 \right)\]and (1, 2) is \[(y-{{y}_{1}})=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}(x-{{x}_{1}})\] \[\Rightarrow \] \[(y-1)=\frac{2-1}{1+\frac{1}{2}}\left( x+\frac{1}{2} \right)\] \[\Rightarrow \] \[(y-1)=\frac{2}{3}\left( x+\frac{1}{2} \right)\] \[\Rightarrow \] \[3(y-1)=(2x+1)\] \[\Rightarrow \] \[2x-3y=-4\] \[\Rightarrow \] \[\frac{x}{-2}=\frac{y}{\left( \frac{4}{3} \right)}=1\] So, the x-intercept is\[-2\].
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