Question

What is y=-2/9x+3 written in standard form using integers?A. 2/9x+y=3 B. y + 2/9x – 3 = 0 C. 2x + 9y = 3D. 2x + 9y = 27

Answer 1

Given:

`y=-(2)/(9)x+3`

The equation above is written in slope intercept form:

y = mx + b

To rewrite in standard form, use the standard form of linear equations below:

Ax + By = C

Thus, we have:

`y=-(2)/(9)x+3`

Multiply through by 9 to eliminate the fraction:

`\begin{gathered} 9y=(-(2)/(9)x\ast9)+(3\ast9) \\ \\ 9y=-2x+27 \end{gathered}`

Add 2x to both sides:

`\begin{gathered} 2x\text{ + 9y = -2x + 2x + 27} \\ \\ 2x\text{ + 9y = 27} \end{gathered}`

Therefore, the equation in standard form is:

2x + 9y = 27

ANSWER:

D. 2x + 9y = 27