How to turn point-slope linear equation into standard form

Question

How would I turn the point-slope form linear equation into standard form? Y - 3 = 3 (x + 1)

Answer 1

Hi Nicole, the standard form of a line is Ax + By = C. To convert y - 3 = 3 * (x + 1), you have to get the x and y terms on the same side of the equation.

 

Note: A, B, and C are integers, and normally A is positive.

 

Process:

 

y - 3 = 3 * (x + 1)

 

Clear the parenthesis:

 

y - 3 = 3x + 3

 

Subtract 3x from both sides:

 

-3x + y - 3 = 3

 

Add 3 to both sides:

 

-3x + y = 6

 

Multiply all terms by -1:

 

3x - y = -6

 

Questions?