Question

identify the equation written in standard form
a $y = 2x+5$
b $7x - 5y=35$
c $\frac{4}{5}x+\frac{1}{2}y = 11$
d $3y = 9x - 12$

Explanation:

Step1: Recall standard - form of linear equation

The standard form of a linear equation is $Ax + By=C$, where $A$, $B$, and $C$ are integers, and $A\geq0$.

Step2: Analyze option A

The equation $y = 2x+5$ is in slope - intercept form $y=mx + b$, not standard form.

Step3: Analyze option B

The equation $7x−5y = 35$ is in the form $Ax + By = C$ where $A = 7$, $B=-5$, and $C = 35$, and all are integers.

Step4: Analyze option C

The equation $\frac{4}{5}x+\frac{1}{2}y = 11$ has non - integer coefficients, so it is not in standard form.

Step5: Analyze option D

The equation $3y=9x - 12$ is not in the form $Ax + By = C$. It can be rewritten, but in its current state, it is not in standard form.

Answer:

B. $7x - 5y = 35$