Question

Find the equation of the line which passes through the points (–1, 1) and (2, –4).

Answer 1

The line passes through the points ( −1,1 ) and ( 2,−4 ).

The formula for the equation of line passing through the points ( x 1 , y 1 ) and ( x 2 , y 2 ) is given by,

( y− y 1 )= y 2 − y 1 x 2 − x 1 ⋅( x− x 1 )(1)

Substitute ( x 1 , y 1 ) as ( −1,1 ) and ( x 2 , y 2 ) as ( 2,−4 ) in equation (1).

( y−1 )= −4−1 2−( −1 ) ⋅( x−( −1 ) ) ( y−1 )= −5 3 ⋅( x+1 ) 3⋅( y−1 )=−5⋅( x+1 ) 3y−3=−5x−5

Further simplify the above equation.

5x+3y+5−3=0 5x+3y+2=0

Thus, the equation of line passing through the points ( −1,1 ) and ( 2,−4 ) is 5x+3y+2=0.