Question

Find the equation of the line which passes through the point (–4, 3) with slope .

Answer 1

The point through which the line passes is ( −4,3 ) and the slope of the line is 1 2 .

The formula for the equation of a non-vertical line having slope m and passing through the point ( x 0 , y 0 ) is given by,

( y− y 0 )=m( x− x 0 )(1)

Substitute the values of ( x 0 , y 0 ) as ( −4,3 ) and slope m as 1 2 in equation (1).

( y−3 )= 1 2 ( x+4 ) 2( y−3 )=( x+4 ) 2y−6=x+4 x−2y+10=0

Thus, the equation of line passing through the point ( −4,3 ) and the slope of the line is 1 2 is x−2y+10=0.