Question

The equation of the line passing through the points $(2,3)$ and $(4,5)$ is

• A. $x-y-1=0$
• B. $x+y+1=0$
• C. $x+y-1=0$
• D. $x-y+1=0$

Answer 1

Answer: (D)

$x-y+1=0$

The equation of a line passing through two points $(x_1,y_1)\&(x_2,y_2)$ is given by $\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.$
$\therefore$ The equation of line passing through $(2,3)$ and $(4,5)$ is given by
$\frac{y-3}{x-2}=\frac{5-3}{4-2}$

$⟹\frac{y-3}{x-2}=\frac{2}{2}$
$⟹y-3=x-2$
$⟹x-y+1=0$

Hence, option D is correct.