What is y = 2/3x + 4 written in standard form?

The answer in standard form can be written 2x - 3y=  -12

The first step is to make y the subject of formula

2x - 3y= - 12

y= 2/3x + 12/3

y= 2/3x + 4

multiply through by 3

y(3)= 2/3(3) + 4(3)

3y= 2x + 12

subtract 3 from both sides of the equation

3y-3=  2x+12+3y

0= 2x+3y+12

collect the like terms

0-12= 2x+3y

-12= 2x+3y

2x+3y= -12

Therefore the standard form of the equation is

2x+3y= -12

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2x - 3y = - 12

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = x + 4

Multiply through by 3

3y = 2x + 12 ( subtract 3y from both sides )

0 = 2x - 3y + 12 ( subtract 12 from both sides )

- 12 = 2x - 3y ⇒ 2x - 3y = - 12 ← in standard form

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step-by-step explanation: