Start by checking whether the image is larger than necessary. Then adjust JPG quality gradually and compare the output at its intended display size.
What should you consider?
If your destination supports WebP, a conversion can also be worth testing.
Practical workflow
Start with the destination requirement, make a copy rather than overwriting an important original, and compare the output at the size where it will actually be used. If the file is still too large, consider whether resizing, compression or a different format solves the real problem.
Related tool
Tip: The smallest file is not automatically the best file. Compatibility and visible quality matter too.