Question

Two points of a line are given below. The equation of the line is:

$A(-3,4),B(4,5)$

• A. $x-7y+31=0$
• B. $x+7y-25=0$
• C. $x-7y-31=0$
• D. $x+7y+25=0$

Answer 1

The correct option is A $x-7y+31=0$

The equation of the line $RT$ passing through the points $R(x_1,y_1)$and $T(x_2,y_2)$ is

$\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}$
For the given points: $A(-3,4)$ and $B(4,5)$
$\Rightarrow \frac{x+3}{4+3}=\frac{y-4}{5-4}$
$\Rightarrow (x+3)=7(y-4)$
$\Rightarrow x+3=7y-28$
$\Rightarrow x-7y+31=0$