Yes. A landlord who uses the amount of your household income to decide whether to rent to you can include only the portion of rent you are responsible for in determining if your income is enough.
Example: Maria applies for a unit that rents for $1,000/month. Maria's Section 8 voucher will cover $600 of the rent. The landlord requires all tenants to have a monthly income that is twice the rent amount.
Before, Maria's income would have to be $2,000 to qualify for the apartment. Under this law, the landlord must subtract the voucher amount ($600) from the total rent ($1,000) before calculating if Maria's income is enough.
In this case, Maria's portion of the rent is $400. So 2x Maria's portion of rent = $800. Maria's monthly income only needs to be $800 to qualify.