write the equation of a line passing through SolutionEquatio

write the equation of a line passing through

Solution

Equation of line passing through (x₁ , y₁) with slope m is y - y₁ = m(x - x₁)

Given that slope m = -2 , point is (x₁ , y₁) = (-2 , 3)

==> Equation is y - 3 = -2(x - (-2))

==> y - 3 = -2(x +2)

==> y - 3 = -2x -4

==> y = -2x -4 +3

==> y = -2x -1 is required equation of line.