Final answer:
To write the equation y = -3/4x + 1/3 in standard form using integers, multiply the entire equation by 12 to eliminate the fractions, move all the terms to one side of the equation, and rearrange the equation.
Step-by-step explanation:
To write the equation y = -3/4x + 1/3 in standard form using integers, we need to eliminate the fractions and express the equation in the form Ax + By = C, where A, B, and C are integers. Here are the steps:
1. Multiply the entire equation by 12 to eliminate the denominators: 12y = -9x + 4.
2. Move all the terms to one side of the equation to get 9x + 12y = 4.
3. Rearrange the equation so that the x term comes before the y term: 9x + 12y - 4 = 0.