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To write the equation y = −25x + 2 in standard form using integers, we need to manipulate the equation to have the form Ax + By = C, where A, B, and C are integers.
First, let's rearrange the equation:
y = −25x + 2
To eliminate the decimal coefficient, we can multiply the entire equation by 100:
100y = −2500x + 200
Now, let's rearrange the equation again to have all the variables on one side and the constant term on the other side:
2500x + 100y = 200
Dividing both sides of the equation by 100, we get:
25x + y = 2
So, the standard form of the equation y = −25x + 2 is 25x + y = 2.