If your scoring and breaking of your glass is not going well, you need to diagnose the reasons. There are always a lot of suggestions that warming the glass will solve the problem. Yes, warming glass may help. A discussion of the effect is here. But it will not overcome any faults in the basic skills of scoring.
A lot of images, shown on the internet, of straight line scores failing to break along the score, indicate some possible elements in scoring that lead to these unwanted break-outs.
One possibility is you are using too much pressure. A discussion of the amount of pressure required is here. You should be scoring to the pressure required, rather than any sound that may come from scoring. This is emphasised when cutting opalescent glass. The correct scoring pressure makes almost no sound or only a gentle rumble as it cutter moves over the undulations of the glass. The most frequent reason for more difficulty in breaking opalescent glass is excessive pressure while attempting to get the same sound as from transparent glass. There are even a few transparent glasses that make little or no sound when being scored with the correct pressure.
Another common problem in scoring is keeping an even pressure throughout the score. It can be difficult to keep the pressure even on complicated cuts. When the cartoon has multiple curves or deep concave lines, it can be difficult to keep the pressure even as you move your body around to follow the line. One piece of advice I received early on in my learning was to rehearse the score allowing the cutter wheel to move along the score line with virtually no pressure. This shows how the piece of glass needs to be oriented to ease your movement around the glass to make the score.
Slowing the cutting speed can help to keep the pressure evenly distributed along the score. Straight lines are often scored quickly. But, even on straight lines, slowing the speed can make the pressure more even throughout the score. It can also avoid variable speed during the scoring, which leads to different forces being placed on the glass. The pressure may be consistent, but the effective pressure is greater when slow than when fast scoring is used. If the speed is variable, the effective pressure differs along the score line.
A fourth thing that may be happening on straight lines is that the cutter wheel is at an oblique angle to the direction of the score. This will often be heard as a scratching sound as you move along the score line. This can be overcome by a gentle pressure against the straight edge you are using to align your score. Of course, the straight edge needs to be held firmly to avoid having it move. Allowing the head of the cutter to have a little freedom of movement also helps keep it parallel to the straight edge.
All this is merely speculation about your scoring practice.
You need to get someone to observe you scoring. They do not need to be experts, nor other glass artists. They just need to be observant. Tell them what you are looking for in each of the four elements of scoring and have them observe only one thing at a time.
First get scales that you can zero when you have a small piece of glass on it. Score without touching the glass. Have the observer tell you if the pressure was consistent throughout the score, and if you are in USA, whether the pressure was above 7 pounds or below 4 pounds. (For the rest of the world 3kg to 1.8kg). Practice until you can score consistently at about 2.2kg (ca. 5 pounds).
Second, have the observer stand a little distance from you. Score toward the observer. They need to observe whether your cutter is perpendicular to the glass while scoring and if there is any variation.
Next, they need to tell you if your head was directly above the cutter all the way through the score. They will be able to see whether your eye is directly above the cutter
Is your body behind the cutter, or do you use your arm to direct the cutter? The observer will be able to tell that when you are scoring curves. The most consistent speed and pressure is delivered when the cutter is steered from your torso, rather than your arm and wrist. It slows the scoring action, gives smoother curves, and more even pressure.
The last element, you can do yourself. Once you are doing all the things above, you will be able to hear any scratching noise, rather than the gentle creaking noise of an even score with adequate pressure. If the scratching noise is intermittent or only at one point, the likelihood is that you are twisting the cutter head, so the wheel is not in line with the score line.