Question

u4:05: unit 4 test
what is a linear equation?
0 / 10000 word limit

Explanation:

A linear equation is an algebraic equation of the form \( y = mx + b \) (in two - variable form, where \( m \) is the slope and \( b \) is the y - intercept) or \( ax+by + c = 0\) (standard form for two variables, with \( a,b \) not both zero) or in one variable as \( ax + b=0\) (\( a
eq0\)). In general, a linear equation is an equation that represents a straight line when graphed in a coordinate system (for equations with two variables) and its variables are raised to the power of 1 (no exponents other than 1 on the variables, and no products of variables).

Answer:

A linear equation is an algebraic equation where the variables are raised to the first power (degree 1) and, when graphed (for equations with two or more variables), represents a straight line. In one - variable form, it is typically \( ax + b = 0\) (\(a
eq0\)); in two - variable form, it can be written as \( y=mx + b\) (slope - intercept form) or \( ax+by + c = 0\) (standard form, \(a,b\) not both zero), and for more variables, it follows the pattern of a first - degree polynomial equation in those variables.