Help me with my homework pls

Question

Write the equation in standard form using integers. y+1=2/3 (x+6)

Answer 1

y+1=2/3 (x+6)

3y + 3 = 2x + 12

2x - 3y + 9 = 0

Answer 2

You will need to double check your textbook to determine if this is correct since there are, as strange as it may seem, multiple "standard forms" for a line. What I consider to be standard form is:

Ax + By = C where A is a positive integer and B and C are integers

So, starting with your equation:

y + 1 = 2/3(x + 6) distribute the 2/3 to get:

y + 1 = 2/3x + 4 then subtract 4 from both sides to get:

y - 3 = 2/3x then subtract "y" from both sides to get:

-3 = 2/3x - y then multiply both sides by 3 to get:

-9 = 2x - 3y and then flip it around to get:

2x - 3y = -9