Final answer:
The equation that represents y=3x-15 in standard form is 15x+5y=1. To convert the equation, start by bringing all the terms to the left side, then multiply by the necessary constants to simplify the equation.
Step-by-step explanation:
The equation that shows y=3x-15 in standard form is 15x+5y=1.
To convert the equation y=3x-15 into standard form, we need to move all the terms to one side of the equation and arrange them in the form Ax + By = C, where A, B, and C are integers.
So,
Start with the equation y=3x-15
Bring all the terms to the left side:
3x - y = 15
Multiply both sides by -5:
-15x + 5y = -75
Finally, multiply both sides by -1 to make the coefficient of x positive:
15x + 5y = 75