🔣 Algebra Visualizer

y = mx + b · line plotter · system of equations · step-by-step equation solver · quadratic explorer

y = 1x + 0
Slope (m) 1
Y-intercept (b) 0
Y-INTERCEPT
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X-INTERCEPT
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SLOPE TYPE
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STEEPNESS
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SLOPE 2 (m₂) −1
Y-INTERCEPT 2 (b₂) 4
INTERSECTION POINT
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Solve for x
Enter values to solve an equation of the form ax + b = c. The solver shows every step so you can follow the working.
x + =
y = x²
a — stretch / flip 1
b — horizontal shift 0
c — vertical shift 0
VERTEX
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OPENS
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Y-INTERCEPT
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DISCRIMINANT
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What is this?

Algebra is the language of mathematics — using letters (variables) to represent unknown values and reveal patterns. The Algebra Visualizer plots lines, solves equations step-by-step, and lets you explore parabolas interactively.

Why does it matter?

Algebra underpins every field of science, engineering, economics, and computing. Every app, simulation, financial model, and formula you'll ever use relies on algebraic thinking.

Key terms
Variable — a symbol (x, y) representing an unknown or changing value Slope (m) — the steepness of a line; rise divided by run (Δy ÷ Δx) Y-intercept (b) — where the line crosses the y-axis when x = 0 Linear equation — y = mx + b; always produces a straight line when graphed Quadratic — y = ax² + bx + c; produces a U-shaped parabola Discriminant — b² − 4ac; tells you how many real solutions a quadratic has
🎯 Try this challenge

In the Line Plotter, set m = 2 and b = −4. What are the x- and y-intercepts? Now enable the second line with m = −1 and b = 5. What are the coordinates of their intersection?

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