Final answer:
To write the equation y - 2 = -1/3(x - 7) in standard form, simplify and rearrange the terms. Distribute the -1/3, add 1/3 * x to both sides, and multiply by 3 to clear the fraction.
Step-by-step explanation:
To write the equation y - 2 = -1/3(x - 7) in standard form, we need to simplify the equation and rearrange the terms so that the variables are on one side and the constants are on the other side. First, distribute the -1/3 to the terms inside the parentheses: y - 2 = -1/3 * x + 7/3. Then, add 1/3 * x to both sides to get rid of the fraction: 1/3 * x + y - 2 = 7/3. Finally, multiply the equation by 3 to clear the fraction and obtain the standard form: x + 3y - 6 = 7.