The new capacitors and trimpots for the video board arrived today. I installed all of the capacitors and replaced the Height and VHOLD potentiometers, but the problem is still there. I can barely see it since the screen is just a horizontal line, but I think that replacing and adjusting the VHOLD trimpot has stopped the scrolling issue. What should I try next to solve the horizontal line problem?
Check the vertical deflection circuit. This is U2 (TDA1170N) and the components around it.
There is a LM7824 voltage regulator on the board. At its output (pin 3 or C2) you should measure +28 V. The voltage can be adjusted with the pot labeled "WIDTH". Do not apply more than 30 V here, otherwise the TDA1170 could be damaged. If pin 1 and pin 3 of the controller indicate almost the same voltage value, the width potentiometer is defective. C2 could be worth a replacement, it is heavily used. But I assume you have already done this.
At pin 2 of the TDA1170 (or at C12) there should be 11..16 V. R24 is getting really hot, it drops the difference between the +28 V supply and this voltage.
At pin 8 you should see (or hear) the 60 Hz VSync from the CPU board. If this is intermittend, you have issues (corrosion?) with your mother board. or with the CPU board / video PROM.
Pin 4 drives the vertical deflection coil. Check the solder joints at the connector, and check (or replace) C19 with a low ESR/high ripple current rating capacitor. It is in series with the deflection coil and carries its full current.
If the width regulator or voltage regulator has failed in the past, your TDA1170N may be flaky. I had to replace this part quite often.