Last week the Evening Times revealed concerns over the Anniesland line through Maryhill being left out of the electrification programme and concerns stations could shut.
Nicola Sturgeon, Deputy First Minister and Keith Brown, Transport Minister, both gave an assurance that the line was safe and no stations would close under an SNP government.
Ms Sturgeon said: "Passengers can rest assured that this SNP Government is totally committed to keeping the stations along the Maryhill line open.
"There has never been any intention to close them, and they will remain open as long as we are in office."
SPT councillors met to discuss the proposals and called for greater detail to plan how local services would be affected.
Jim Coleman SPT chairman said he was looking for more answers and the report was not intended to level criticism at the government.
He said: "The proposal is to seek and get answers how things might look if some of the changes come about."
The transport minister this week said that the Anniesland line would be electrified after the EGIP works were complete.
Councillors asked for clarity on when that would be.
Chris Kelly, Councillor for Canal asked: "The Maryhill line is extremely important. Why has electrification been removed from the programme and when will it be done, after EGIP and the current programmes, we are looking at 2019 and beyond, but when beyond."
Other councillors called for the Scottish Government to provide greater detail on the proposals.
Councillors heard a presentation on the Edinburgh to Glasgow Improvement Programme.
Charles Hoskins, Director of Projects said the plan had fundamentally changed once the original proposal.
He said the removal of work like the Croy Turnback and Greenhill separated junction from the programme would impact on the ability to run services in the greater Glasgow area and northwards towards Aberdeen and Perth.
He also told councillors some electrification work that was taken out of EGIP was included in other programmes.Concerns over the compatibility with High Speed rail were raised and what it means for Queen Street Station.