Given :-
A line having a slope of 3/2 passes through (2,-1) .
To Find :-
The equation of the line .
Answer :-
According to the question ,
m = 3/2
Point = (2,-1)
We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )
Substitute ,
y - (-1) = 3/2 ( x - 2 )
y + 1 = 3/2x - 3/2*2
y +1 = 3/2x - 3
2( y +1) = 3/2x *2 - 3*2
2y + 2 = 3x - 6
3x -2y -8 = 0