Where the underlying price sits relative to the strike has a name, and the name decides whether exercising today would be worth anything. The SEC states the rule for calls directly: a call option is in-the-money "if the strike price is below the actual stock price," and out-of-the-money "if the strike price is above the actual stock price." At-the-money describes the strike and the current price sitting at the same level. Only an in-the-money call has intrinsic value, the amount it would be worth if exercised right now; an out-of-the-money call's entire premium is time value, a bet that it moves into the money before expiration.
The buyer's risk is capped and the writer's is not, and the asymmetry is the single most important fact about which side of a call you are on. A buyer pays the premium once and can lose no more than that, because the worst case is that the right simply expires unused. A writer who does not already own the underlying (an uncovered or "naked" call) receives the premium as the most they will ever make, and if the stock rises well above the strike, they are obligated to deliver shares they must first buy at whatever the market is charging, an exposure with no arithmetic ceiling because a stock's price has no upper bound. Writing a call against shares you already own removes that specific exposure, and that combination has its own page, the covered call.
Breakeven is a number, not a formula, and stating it as a formula is where confusion creeps in. For a call buyer, breakeven is the strike price plus the per-share premium paid. That sounds simple until the contract's size is forgotten: the premium quoted on an options screen is a per-share figure, while the amount actually paid for one contract is that premium multiplied by the contract's size, ordinarily 100 shares for a listed equity option. Confusing the two produces a breakeven that looks right and is off by two orders of magnitude, which is why the worked example below prints every figure rather than describing the formula alone.
A rising underlying does not make a call buyer's paper gain simple to read either, because the premium already paid is sunk. Once the strike is crossed, further gains accrue dollar for dollar with the underlying, but the position only becomes profitable once the underlying clears breakeven, not merely the strike. A buyer who sees the stock cross the strike price and assumes they are now "in profit" is ignoring the premium they already spent to get there.