Calculate the price elasticity of demand by dividing the relative change in quantity demanded by the relative change in price.
Use the formal two-part equation to find the elasticity, taking each part separately.
Part 1: (Q2 - Q1)/ ((Q1 + Q2))/2)
where Q represents "quantity."
Part 2: (P2 - P1)/ ((P1 + P2))/2)
where P represents "price."
Divide Part 1 by Part 2 to solve for the equation. Plug in values to calculate the formula. Assume Q1 is 80, Q2 is 100, P1 is $4 and P2 is $10.
Part 1: (100 - 80)/(100 + 80)/2 = 2/9
Part 2: (10 - 4)/((10 + 4)/2) = 6/7
Divide Part 1 by Part 2 to produce a final value. For this problem, a calculator may be necessary.
(2/9) / (6/7) = 0.259
Price elasticity would be .259 for these data points. A graph of this line would have a slope of .259 as well.