Question

If a straight line passes through the points $\left(\frac{-1}{2},1\right)$ and $(1,2)$, then its $x$-intercept is

• A. $-2$
• B. $-1$
• C. $2$
• D. $1$
• E. $0$

Answer 1

Answer: (A)

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 $-2$ .