What is the equation of line whose slope is $$\frac{{ - 1}}{2}$$ and passes through the intersection of the lines x - y = -1 and 3x - 2y = 0?

Solution (By Examveda Team)

Given,
Equation of the lines:
x - y = -1 . . . . . . (i)
3x - 2y = 0 . . . . . . (ii)
From equation (i) & (ii)
Intersecting co-ordinate (x₁, y₁) = (2, 3)
m = $$\frac{{ - 1}}{2}$$ given
Now,
Required equation of the line
= y - y₁ = m(x - x₁)
= y - 3 = $$\frac{{ - 1}}{2}$$ (x - 2)
x + 2y = 8