Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)
(0,3) and (2,-1) are points on the line.
slope = (-1-3)/(2-0) = -2
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
m = -2
(x₀, y₀) = (2,-1)
y+1 = -2(x-2)