Question

write the equation of the line passing through the points (-1 ,1) and (2 ,-4)..

Answer 1

Step-by-step explanation:

☑ We have given the points (-1 ,1 ) and ( 2 , (-4))

☑ So, to find the equation of the line passing through two points ,we will use two point form ,

◾two point form formula :

$\\ \frac{(y - y1)}{(y1 - y2)} = \frac{(x - x1)}{(x1 - x2)}$

let, the given points are,

( -1 , 1 ) = ( x1 , y1 )

( 2 , -4 ) = ( x2 , y2 )

$\frac{(y - (1))}{((1) - ( - 4))} = \frac{((x) - ( -1))}{((-1) - ( 2))}$

$\frac{(y-1))}{(5)}=\frac{(x + 1)}{-3}$

$-3(y-1) = 5(x + 1)$

$-3y+3 = 5x + 5$

$-3y-5x+3-5 = 0$

$-3y-5x-2=0$

Taking (-1) on both the sides

$5x + 3y + 2 = 0$

therefor the equation of the line passing through the points (-1 ,1) and (2 ,-4) is

$\boxed{\textbf{\large{5x + 3y + 2 = 0}}}$