Final answer:
To convert y = (-5/3)x + 3 to standard form, multiply by 3 to eliminate fractions, then rearrange to get 5x + 3y = 9, which is the standard form using integers.
Step-by-step explanation:
To write the equation y = (-5/3)x + 3 in standard form using integers, we need the equation to be in the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.
First, multiply both sides of the equation by 3 to eliminate the fraction:
3y = -5x + 9
Next, move the x-term to the left side of the equation:
5x + 3y = 9
Now, the equation is in standard form and all the coefficients are integers, as required.