Question

If a country had perfect income equality what

would the Lorenz curve look like?

Short answer

it would be line sloping up at 45 degrees.

Step-by-step solution

Step 1. Definition 

it's a Graphical way of studying dispersion, Lorenz curve, was first used to measure the inequalities of income in society, the greater distance of the curve from the line of equality distribution more is the inequality in its series

Step 2. Graph 

Step 3. Explanation

if a country has perfect income equality that means

total income distribution$=$ total income

but Lorenz curve measures inequalities of income, so the 45-degree line displays the perfect equality of income distribution