Question

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

a. ( x + 9y = -3 )

b. ( 3x + 4y = 12 )

c. ( y = -2x + 7 )

d. ( 0x + 1y = 5 )

Explanation:

Step1: Recall standard form

Standard form of a linear equation is \( Ax + By = C \) (A, B, C integers, A non-negative if possible).

Step2: Check each option

a. \( x + 9y = -3 \): Fits \( Ax + By = C \).
b. \( 3x + 4y = 12 \): Fits \( Ax + By = C \).
c. \( y = -2x + 7 \): Is slope-intercept form (\( y = mx + b \)), not standard.
d. \( 0x + 1y = 5 \): Simplifies to \( y = 5 \), fits standard form.
Thus, option c is not in standard form.

Answer:

c. \( y = -2x + 7 \)