Question

Find the equation of this line.

Answer 1

`y=-(1)/(2) +1`

Explanation:

We have to choose two points in the graph:

P₁ = (0, 1) → x₁ = 0 & y₁ = 1

P₂ = (2, 0) → x₂ = 2 & y₂ = 0

Now any of those point can be the P₀ I'll choose P₁ as P₀

P₀ = (0, 1) → x₀ = 0 & y₀ = 1

`y - y_o=(y_2-y_1)/(x_2-x_1)(x-x_0)\\ \\y-1 = (0-1)/(2-0)(x-0)\\ \\y-1=(-1)/(2)(x) \\\\y-1=-(1)/(2)x\\ \\y=-(1)/(2)x+1`