How would one write y = 2/3x -4 in standard form?
First read:
http://www.algebralab.org/studyaids/studyaid.aspx?file=Algebra1_5-5.xml
Then:
multiply both sides by 3
3y=2x-12
then move terms into standard form
-2x+3y=-12
you could multiply both sides by -1 to get
2x-3y=12
but it is not necessary
To write the equation y = 2/3x - 4 in standard form, you can follow these steps:
1. Multiply both sides of the equation by 3 to eliminate the fraction:
3y = 2x - 12
2. Move the terms to the other side of the equation to arrange it in the standard form:
-2x + 3y = -12
Alternatively, you can multiply both sides of the equation by -1 to make the coefficient of x positive:
-1(3y) = -1(2x - 12)
-3y = -2x + 12
Simplifying further:
2x - 3y = 12
Both -2x + 3y = -12 and 2x - 3y = 12 are valid standard form representations, but multiplying by -1 is not necessary to achieve standard form.