Question

Find the equation of the straight line passing through the points $(-1,1)$ and $(2,-4)$

Answer 1

Let $A(x_1,y_1)$ and $B(x_2,y_2)$ be the given points.

Here $x_1=-1$, $y_1=1$ and $x_2=2$, $y_2=-4$

Using two-points formula, the equation of the straight line is

$\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}$

$\Rightarrow \frac{y-1}{-4-1}=\frac{x+1}{2+1}$

$\Rightarrow$ $3y-3=-5x-5$

Hence, $5x+3y+2=0$ is the required equation of the straight line.