Question

1. which of the following equations is not in standard form?

a. $3x + 4y = 12$
b. $0x + 1y = 5$
c. $y = -2x + 7$
d. $x + 9y = -3$

Explanation:

Step1: Recall standard line form

The standard form of a linear equation is $Ax + By = C$, where $A$, $B$, and $C$ are constants, and $A$, $B$ are not both zero.

Step2: Analyze each option

• Option a: $3x + 4y = 12$ matches $Ax + By = C$.
• Option b: $0x + 1y = 5$ matches $Ax + By = C$.
• Option c: $y = -2x + 7$ rearranges to $2x + y = 7$, but its given form is slope-intercept ($y=mx+b$), not standard.
• Option d: $x + 9y = -3$ matches $Ax + By = C$.

Step3: Identify non-standard form

Only option c is not in $Ax + By = C$ form.

Answer:

c. $y = -2x + 7$