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 requires integer coefficients for the variable terms and constant, with the leading coefficient (for the $x$-term) non-negative, and it follows the structure $Ax + By = C$. Option a lacks the integer/non-negative coefficient rules, option c is intercept form, and option d does not match the standard structure.

Answer:

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