Question

Write the equation y - 2 = 2(x - 3) in standard form.
Answer

y - 2x = 4

2x - y = -6

2x + y = 6

2x - y = 4

Answer 1

y - 2 = 2(x - 3) -- distribute through the parenthesis
y - 2 = 2x + 6 -- add 2 to both sides
y = 2x + 6 + 2
y = 2x + 8
standard form is Ax + By = C
y = 2x + 8 -- subtract 2x from both sides
-2x + y = 8 -- multiply by -1 to make x positive
2x - y = -8 <== standard form