Final answer:
To rewrite y - 4 = -5(x - 5) in Ax + By = C form, distribute the -5, add 4 to both sides to isolate y, and then rewrite the equation to get 5x + y = 29.
Step-by-step explanation:
To rewrite the equation y - 4 = -5(x - 5) in Ax + By = C form, we'll start by distributing the -5 on the right side of the equation.
y - 4 = -5x + 25
Now, add 4 to both sides to get y alone on the left side:
y = -5x + 29
Finally, to put it in the desired form, we just rewrite it, keeping in mind we want x and y terms on the left:
5x + y = 29
So, the equation 5x + y = 29 is in the required Ax + By = C form.