First, determine the slope of the line. See image attached. The slope of the line could be determine using the formula: [tex]m = \dfrac{\Delta y}{\Delta x} [/tex] [tex]m = \dfrac{-8}{8} [/tex] m = -1
Second, determine the equation of the line. The available information: m = -1 and one of the points that lies on the line is (x₁,y₁) = (0,-2). Use this formula y - y₁ = m(x - x₁) y - (-2) = -1(x - 0) y + 2 = -x y + 2 = -x x + y + 2 = 0