Question

1. what is the standard form of a linear equation?

a. $ax + by = z$
b. $ax + by = c$, where $a$, $b$, and $c$ are integers, and $a$ should not be negative
c. $\frac{x}{a} + \frac{y}{b} = 1$
d. $a(x + y) = c$

Explanation:

The standard form of a linear equation in two variables is defined as \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) is non-negative to maintain a consistent standard form. The other options either use non-standard variables, represent intercept form, or do not follow the standard structure.

Answer:

b. \(Ax + By = C\), where \(A, B,\) and \(C\) are integers, and \(A\) should not be negative