Rewrite the equation in Ax+By=C form.

Use integers for A, B, and C.

y-5=-5(x-2)

y-5 = -5x + 10

5x + y = 15

To rewrite the equation in Ax + By = C form, we need to expand and simplify the equation.

Starting with the given equation:

y - 5 = -5(x - 2)

First, distribute -5 to both terms inside the parentheses:

y - 5 = -5x + 10

Now, let's move the -5x term to the left side by adding 5x to both sides:

5x + y - 5 = 10

Next, let's move the -5 term to the right side by adding 5 to both sides:

5x + y = 15

Therefore, the equation y - 5 = -5(x - 2) can be rewritten in Ax + By = C form as 5x + y = 15.

To rewrite the equation in the Ax + By = C form, we need to distribute and simplify the equation first. Let's do that step by step:

1. Distribute -5 to both terms inside the parentheses:

y - 5 = -5x + 10

2. Now, we can bring the y term to the left side of the equation by adding 5 to both sides:

y - 5 + 5 = -5x + 10 + 5

This simplifies to:

y = -5x + 15

3. Finally, rearrange the equation so that it is in the form Ax + By = C:

-5x + y = 15

So, the equation y - 5 = -5(x - 2) can be rewritten in the Ax + By = C form as -5x + y = 15.