Question

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

a. $ax + by = c$, where $a$, $b$, and $c$ are integers, and $a$ should not be negative

b. $a(x + y) = c$

c. $ax + by = z$

d. $\frac{x}{a} + \frac{y}{b} = 1$

Explanation:

The standard form of a linear equation in two variables is defined as $Ax + By = C$ with integer coefficients and a non-negative leading coefficient $A$. Option b is a factored form, option c uses an unconventional variable $Z$, and option d is the intercept form, not standard form. Thus, option a is correct.

Answer:

a. $Ax + By = C$, where $A, B,$ and $C$ are integers, and $A$ should not be negative