Letter Agreement, effective October 1, 2019, by and between EQT Corporation and Jimmi Sue Smith

Exhibit 10.4

September 23, 2019

Jimmi Sue Smith

Dear Jimmi Sue,

Termination of EAWA Term

EQT is providing formal notice of EQT’s termination of the EAWA effective as of August 29, 2020 (which date represents the end of the current one-year term). You will be paid for the minimum 100 hours of service contemplated by the current annual term promptly (but in any event within forty-five (45) days) following the termination of the EAWA.

Following the termination of your EAWA, you will have full access to your 401(k) account at Fidelity.

EAWA Buyout Offer

For our mutual benefit, and except as otherwise set forth herein, EQT would like to terminate any remaining right you may have to expense reimbursements and other benefits pursuant to the EAWA in exchange for a lump sum cash payment in the amount of $157,065 (the “Buyout Amount”). The Buyout Amount, net of any required withholding taxes, will be paid to you through EQT payroll promptly (but in any event within forty-five (45) days) following your acceptance of this offer. In addition, by accepting the Buyout Amount, you and EQT agree that the effective date of the termination of your EAWA shall be the date upon which the Company’s Chief Human Resources Officer acknowledges your acceptance by executing this letter agreement below on behalf of the Company (such date, the “Effective Date”) and, effective as of the Effective Date (i) you will be released from the stock ownership requirements in the EAWA and (ii) the final non-competition and non-solicitation periods under Section 15 of the EAWA will commence.

If you accept the Buyout Amount, your eligibility to continue to participate in EQT’s medical, dental and vision programs as provided under Section 4 of the EAWA will continue in accordance with the terms of, and for the period specified in, Section 4 of the EAWA subject to your continued payment of 102% of the then-applicable full active employee premium rates (both the employee portion and the employer portion) as required under Section 4.

If you would like to accept the Buyout Amount, please sign this letter agreement below and return it to me within thirty (30) days following the date hereof. Upon countersignature by the Company, I will provide you a fully executed copy for your records. If we do not receive your executed agreement within thirty (30) days, we will presume you have declined the Buyout Amount and it will no longer be available to you. If you have any questions regarding the termination of the current term of the EAWA or the EAWA buyout offer, please call or e-mail me at ###-###-#### or ***@***.

EQT Corporation │

EQT Plaza│ 625 Liberty Avenue │ Suite 1700

Pittsburgh, PA 15222 │

###-###-#### │F ###-###-#### │ www.eqt.com

Sincerely,

Mary C. Krejsa

Stock Plan Administrator

Acceptance of Buyout Amount:

I accept the Buyout Amount as payment in full in exchange for the amendment of my EAWA to eliminate any and all benefits and/or benefit expense reimbursements or other payments owed to me under the EAWA (including all payments and other rights pursuant to Sections 2, 3, 5, 9, 10 and 11). I understand my acceptance of the Buyout Amount does not alter rights and obligations under Section 4 of the EAWA (relating to participation in EQT’s group medical, dental and vision programs), subject to my continued payment of applicable premiums as provided under the terms of Section 4 of the EAWA. I further understand that my acceptance of the Buyout Amount does not alter my non-competition and non-solicitation obligations to EQT, and the final non-competition and non-solicitation periods under Section 15 of the EAWA will commence as of the Effective Date (as defined above). I hereby agree and acknowledge that this amendment to my EAWA is effective upon the Effective Date, subject to EQT’s payment to me of the Buyout Amount no later than forty-five (45) days following the Effective Date.

Agreed and Acknowledged:

EQT Corporation