i have to turn this into standard form and im stuck, y - 9 = -(x + 2)

Answer 1

y - 9 = -(x + 2)

Remember that there is an invisible 1 in front of the parentheses...

y - 9 = -1(x + 2)

y - 9 = - x - 2

x + y = 7

Answer 2

y - 9 = -(x + 2)

Add 9 to both sides of the equation to eliminate it on the y side

y - 9 + 9 = -(x+2) + 9

So y = -(x + 2) + 9

Now resolve the other side of the equation"

y = -x -2 + 9 = -x +7, So y = -x +7 is the answer

Answer 3

WHICH standard form??

There is the "slope-intercept" form: y = mx + b

To get into that format:

y - 9 = -(x + 2)

Expand the right hand term:

y - 9 = -x - 2

Add 9 to both sides:

y = -x + 7