By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.How to determine the line equation by knowing its slope and a pointAccording to analytical geometry, we could know the equation of the line by means of the point-slope equation:y - y₁ = m · (x - x₁) (1)Where:x - Independent variabley - Dependent variable(x₁, y₁) - Known pointm - SlopeIf we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:y + 3 = -(1/3) · (x + 3)y + 3 = -x/3 -1y = -x/3 - 4Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.To learn more on linear functions: