Final answer:
To rewrite the equation y-3=(1)/(3)(x-9), distribute the 1/3 to both terms inside the parentheses, add 3 to both sides, and simplify the expression.
Step-by-step explanation:
Rewriting equations involves expressing an equation in a different form while preserving its mathematical meaning. This process can be done for various reasons, such as simplifying, solving for a particular variable, or representing the equation in a more useful or standard form
To rewrite the equation y-3=(1/3)(x-9), we need to distribute the 1/3 to both terms inside the parentheses. This gives us y - 3 = (1/3)x - 3. Next, we can add 3 to both sides of the equation to isolate y. The equation becomes y = (1/3)x. Finally, we can simplify by multiplying the coefficient 1/3 with x, resulting in the final answer y = (1/3)x.