Question

The equation of a straight line passing through the points $(-5,-6)$ and $(3,10)$, is

• A. $x-2y=4$
• B. $2x-y+4=0$
• C. $2x+y=4$
• D. None of these

Answer 1

Answer: (B)

$2x-y+4=0$

$(y-y_1)=\frac{y_{+2}-y_1}{x_2-x_1}(x-x_1)$

$\Rightarrow (y+6)=\frac{10+6}{3+5}(x+5)$

$\Rightarrow y+6=2(x+5)$

$\Rightarrow y+6=2x+10$

$\Rightarrow 2x-y+4=0$

so option (B) is right