The answer depends in part to where and when you are driving. In some states there are more aggressive drivers, especially in the mornings, who are trying to beat feet to work. If you slow down on a yellow, you're begging to get rear-ended (OUCH!)
Here on the edge of the Rockies, the state has about a 2 second delay between yellow and red. Most folks expect you to run the yellow.

Also, if you're in the intersection on a yellow and it turns red, you are legal to go through the intersection without fear of a ticket.

We also have a number of people who either have not concept of the yellow light time/space continuum, or are in a hurry and don't care. These people can be seen running a red, or in some cases, a VERY red light.

Because of these people, I make sure I look both ways for movement prior to going into the intersection (especially on my bike).

The bike has the added problem of not being seen from behind. So, for the soccer mom who is in the Suburban, talking on the cell phone, I installed an aftermarket high intensity LED taillight / brake light. It is probably 3X brighter than the standard present day factory tail light and even brighter than my old incandescent bulb setup.

On top of all this, I follow the phrase "Via Con Dios" which loosely translates to "walk with God".