1)
2y = -x + 6
x + 2y = 6 ...this is standard form
2)
9x + 2y = 6
2y = -9x + 6
y = -4.5x + 3 .....this is slope intercept form
3)
y - 3 = 4(x + 1)
y - 3 = 4x + 4
4x - y = -7 .......this is standard form
4)
y + 7 = -2(x - 3)
y + 7 = -2x + 6
y = -2x - 1 .........this is slope intercept form
hope it helps