Due tomorrow
write each equation in standard form.
y - 4 = -3(x - 3)
and
y + 9= 2(x + 5)

I think you do not want to find the value of x and y from the two given equations. Only thing you want is to write the equations in their standard form only. Let us take one equation at a time and then write them in their standard form.
In case of the first equation:
y - 4 = - 3(x - 3)
y - 4 = - 3x + 9
3x + y = 9 + 4
3x + y = 13
Now we take the second equation
y + 9 = 2(x + 5)
y + 9 = 2x + 10
2x - y = 9 - 10
2x - y = -1
These are the two standard form of the given equations.