Hello!
"Standard form" looks like Ax + By = C.
Start by carrying out the indicated multiplication:
y + 9=-3(x-2) becomes y + 9 = -3x + 6
We want to group the x and y terms on the left and the constants on the right. Achieve this by adding 3x to both sides, obtaining: 3x + y + 9 = 6. Next, subtract 9 from both sides: 3x + y = -3.
The given equation, in standard form, is 3x + y = -3.