Algebraic Waltz

In a realm where numbers reign, A line, so straight, its path plain. Near, a parabola arcs, a gentle strain, $y = x^2$ , its rule, its chain.

Linear path, a constant flow, $y = mx + b$ , steady, slow. Yet in its neighbor’s curved shadow, Lies a dance of rise and fall, aglow.

In their intersection, a point of grace, Coordinates meet, a brief embrace. $(x, mx + b) = (x, x^2)$ A moment in space, a shared space.

This ballet of algebra, silent and deep, In equations’ hold, secrets they keep. A line and a parabola, in math’s sweep, In the language of calculus, a leap.