Question

Find the equation of a line passing through (3, -4) having slope $\frac{1}{2}.$

• A. x - 2y - 11 = 0
• B. x - 2y - 8 = 0
• C. 2x - y - 11 = 0
• D. None of These

Answer 1

The correct option is A x - 2y - 11 = 0

The equation of line passing through (3, -4) with slope $=\frac{1}{2}$ is

$y=y_1=m(x-x_1)$

$\Rightarrow y-(-4)=\frac{1}{2}(x-3)$

$\Rightarrow 2(y+4)=x-3$

$\Rightarrow 2y+8=x-3$

$\Rightarrow 0=x-3-2y-8$

$\therefore x-2y-11=0$

So, option a is correct.