In the diagram ¯¯¯¯C+bY is the consumption curve. The 45o line is the aggregate supply curve.
At point E, consumption = income i.e (Y=C)
¯¯¯¯C represents the autonomous consumption i.e consumption at zero level of income.
Steps for derivation of supply curve from consumption curve as follows.
(i) Corresponding to ¯¯¯¯C in the consumption function we have −¯¯¯¯C in the saving function. That is. there are negative savings equal to autonomous consumption at Y=0. This is represented by S on the negative axis in the lower panel.
(ii) At point E(Y=¯¯¯¯C). This implies that all the income is spent on consumption expenditure. Thus, savings equal to zero. This is shown as S=0 in lower panel. This point is also known as the Break-even point.
(iii) Beyond the break-even point, by connecting points S and Y we derive the straight upward sloping saving curve.
(iv) SS is the required saving curve.