Help Converting y=2/3x+1 to Standard Form?

Question

Please show me how to do it! I do not really understand it.

 

Answer 1

The standard form line equation is Ax+By = C.

The line equation is y = (2/3)x + 1.

Subtract 1 from each side.

y - 1 = 2x/3

Multiply each side by 3.

3(y - 1) = 2x

3y - 3 = 2x

Subtract 3y from each side.

2x - 3y = - 3.

This is the standard form of the given line equation.