How does the constant upping the interest rates help with inflation?

With the interest rates hitting 6% a year, lowering the interest rates will help with inflation, not raising them. People who bought their houses at 3% cannot afford to sell their houses to move up because most often they can't afford to buy a new house because it is selling for more. What am I missing? Explain!

WASHINGTON—The Federal Reserve lifted interest rates by 0.75 percentage points

How does the constant upping the interest rates help with inflation?

to combat inflation and signaled plans to keep raising them, though possibly in smaller increments.

Fed Approves Fourth 0.75-Point Rate Rise, Hints at Smaller Hikes© Graeme Sloan/Bloomberg News
Fed officials in a Wednesday policy statement acknowledged it could take time for rapid increases this year to be reflected in the economy. “The committee will take into account the cumulative tightening of monetary policy, the lags with which monetary policy affects economic activity and inflation, and economic and financial developments,” they said at the conclusion of a two-day meeting.

The statement said continued rate rises were needed “to attain a stance of monetary policy that is sufficiently restrictive to return inflation to 2% over time.”

How does the constant upping the interest rates help with inflation?
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