Rearrange in the form ax+by+c=0

1) y+4 = 3/5(x-1)

Thank you 😘

Do i multiply everything by 5 first or do I expand?

I'm really confused. I've expanded them first but now i have 2 fractions!

Why not get rid of the fractions to start with? Just multiply everything by 5:

5(y+4) = 3(x-1)
5y+20 = 3x-3

Now just rearrange stuff.

To rearrange the given equation in the form ax + by + c = 0, you need to eliminate any fractions and then simplify the equation.

Let's start by getting rid of the fraction on the right side of the equation. Multiply both sides of the equation by 5 to eliminate the fraction:

5(y + 4) = 3(x - 1)

Expanding,

5y + 20 = 3x - 3

Rearranging the equation,

3x - 5y = 23

Now the equation is in the desired form: ax + by + c = 0, where a = 3, b = -5, and c = 23.

Therefore, the rearranged equation is 3x - 5y + 23 = 0.