Answer:
[tex]\displaystyle x - 3y = 2[/tex]
Step-by-step explanation:
y = ⅓x - ⅔ → Slope-Intercept Form
- ⅓x - ⅓x
__________
−⅓x + y = −⅔ → Standard Form [partially]
Sinse we do not want fractions in our standard equation however, we must multiply by the denominatour to discard it:
−3[−⅓x + y = −⅔]
[tex]\displaystyle x - 3y = 2[/tex]
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