A linear equation produces a straight line when graphed, because the variable appears only to the first power. Its rate of change is constant, and that constant is the slope.
Math Dictionary / Linear Equation
Linear Equation
A linear equation is an equation whose graph is a straight line.
AlgebraGrade 7Grade 8Algebra 1GEDSATACT
What it means
In one variable, it usually has a variable to the first power. In two variables, it can be written in forms like y = mx + b.
Also called: first-degree equation
Examples
| 2x + 5 = 17 |
| y = 3x – 4 |
| 4x – 2y = 10 |
Common mistake
An equation with x^2 is not linear.
Try one
Question: Solve 3x + 2 = 14.
Show answer
3x = 12, so x = 4.