Upgrade graphics card in 2010 Win7 Emachines desktop.  What kind of slots are these? I need to find a proper graphics card with HDMI?

If its 2010 Win7 Machine and not an early 2000's rig ,   then I'm gonna hazzard a guess and say 'PCI-E'  (PCI-Express)

otherwise if its a 2002-2004 PC purchased in the back end of 2009 early 2010 then it could be AGP or AGP 2.0.

Sorry I can't be 100% sure,  if this was about life and death for both us - i think it would better to ask the audience : ))

Orthodoxy is the only true faith. Rapture = heresy; Fireball (aka Shadowfire aka Corvus Blackthorne aka Nightwulf aka Reynaldo Weeks) should be beheaded for spreading this heresy on Yahoo Answers (deceiving Christians into false hope). Dreams/thoughts are from 1)angels who always do good; 2)demons who never do good; or 3)you making shyt up in your head while you sleep trying to solve your problems; or from 4) your gov't using this supertechnology. Usually, dreams/thoughts are from demons. So, that explains a lot of people being in the wrong all the time. Rapture thing is from demons but you can't rule out the gov't using some super technology like Project Blue Beam to kind of introduce people to the evil flying antichrist who will ride on a donkey into the Third Temple. So, churches who closed for COVID (or had COVID measures like dipping spoon into some liquid like alcohol) are no longer Christ's but now are working for Satan promoting the new COVID religion. Last Patriarch is Patriarch Irenaios 1st. He blessed Catacomb movement. For liturgy what you need is antiminis (towel with remains of saints sewn into it); wax candles; one cup/one spoon; non-Kosher non-yeast non-barcoded non-qrcoded wine/bread. Kosher = sprinkled with blood. Yeast is grown on pig bacteria. QRcode = barcode = mark of the beast. Roman Catholics tried one cup and one spoon and got sick with Bubonic plague (no laughing matter). You must hide (within a small group of 10-15 people according to saints Gabriel Urgebadze and Seraphim of Sarov) in order to escape the unforgivable mark of the beast. No documents once you hid because documents are from Satan; burn all the documents that you can find. No electronics once you hid because antichrist's minions will track you using electronics that you got. Even old broken unplugged 1970 TV set will show the antichrist using Tesla's ether. In case you're in 'Murica and want to hide, then consider inland Alaska. Arctic Circle = Security Circle for WW3. If you manage to escape the unforgivable mark of the beast, then your direct ancestors will go to heaven (according to saint Vyacheslav Krasheninnikov). Thanks for reading this spiel. Forgive me.

this is likely not worth doing. 

If you have to ask then you shouldn't be trying to upgrade, plus it's a 11 year old system

if you want to add ANYTHING to a prebuilt PC, you most certainly will need a new PSU also.

as for $50, i doubt you will find a video card that is worth 2 craps for that little. even a slow video card starts around $60-70. you need to spend $100+ for anything worth having. what are you doing with video, if not gaming? if you are just watching TV/movies, then your integrated should be fine. unless it's just your CPU that sucks...

Thank you !  

Youre right.  I should have said: Im not looking to game or anything expensive.  Just something that doesnt lag like this integrated card does.  Looking at $50 or less.  So just look for any card with "PCI express" ?  In USA.       OH ! My question may be moot because I just learned that the power supply (250w) cant handle bigger cards.  If this is untrue, feel free to correct me.

Thank you (anime).  I might just have to get a Chromebook or something just so I can broadcast Taiwan baseball games to my TV via HDMI

You have two types of slot - the orange and the small white is a PCI-e slot, the lower 2 white slots are PCI slots. You can discount the PCI slots these are considered legacy slots. There are plenty of PCI-e cards. Your choice of PCI-e graphics card depends on what you are wanting it for and the power needed to run it. For general use such as watching videos, web surfing, office work then a cheap low power card would be fine. For gaming it probably isn't worth adding a graphics card as the rest of the machine hasn't the power or performance to keep up with a gaming graphics card. As you haven't stated your budget, your requirements, or your country that's the best we can do