Question

Equation of line passing through $a(x_1,y_1)$ and $b(x_2,y_2)$ can be given as

• A. $(y-y_2)=\frac{(y_1-y_2)}{(x_1-x_2)}(x-x_2)$
• B.
  $(y-y_1)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$
• C. $(y-y_1)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_2)$
• D. $\text{Both (a) and (b)}$

Answer 1

The correct option is D $\text{Both (a) and (b)}$

Equation of line passing through $a(x_1,y_1)$ and $b(x_2,y_2)$ in two point form can be given as
$(y-y_2)=\frac{(y_1-y_2)}{(x_1-x_2)}(x-x_2)$
OR
$(y-y_1)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$

Both represent the same line.