Question

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

$D(5,6),E(-5,-6)$

• A. $6x+5y=0$
• B. $5x-6y-60=0$
• C. $6x-5y=0$
• D. $6x-5y+60$

Answer 1

Answer: (C)

$6x-5y=0$

The equation of a 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: $D(5,6)$ and $E(-5,-6)$
$\Rightarrow \frac{x-5}{-5-5}=\frac{y-6}{-6-6}$
$\Rightarrow -12(x-5)=-10(y-6)$
$\Rightarrow -12x+60=-10y+60$
$\Rightarrow 6x=5y$
$\Rightarrow 6x-5y=0$