Graphs and GMT on the coordinate plane

A graph of an equation in two variables, such as $y = f(x)$, is the set of all points $(x, y)$ in the coordinate plane that satisfy the equation. Graphical Methods and Techniques (GMT) involve using these graphs to analyze, solve, and interpret algebraic relationships.

Important properties

• The graph of a linear equation ($y = mx + c$) is a straight line.

• The graph of a quadratic equation ($y = ax^2 + bx + c$) is a parabola.

• You can estimate solutions to equations by finding where graphs intersect.

• Graphing helps visualize how changing one variable affects another.