ABCD is a parallelogram. Co-ordinates of A, B and C are (5, 0), (-2, 3) and (-1, 4) respectively. What will be the equation of line AD?

Answer: Option D

Parallelogram ABCD
AD || BC
Slope of line AD (m) = Slope of line BC
Slope of line BC $$=\frac{y_2-y_1}{x_2-x_1}=\frac{4-3}{-1+2}=1$$
Slope of AD = 1
Equation of line AD ⇒
y - y₁ = m(x - x₁)
x₁ = 5, y₁ = 0
y - 0 = 1(x - 5)
y = x - 5