To convert the equation y = -3x + 1 into standard form Ax + By = C, where A, B, and C are integers and A is positive, we need to rearrange the equation by bringing all the terms to one side of the equation.
Starting with the equation:
y = -3x + 1
We can rearrange the terms to get:
3x + y = 1
This equation is in the form Ax + By = C, where A = 3, B = 1, and C = 1. However, the standard form requires that A be positive. To make A positive, we can multiply both sides of the equation by -1:
-3x - y = -1
Therefore, the standard form of the equation y = -3x + 1 is -3x - y = -1