Write an equation in slope intercept form for a line that is perpendicular to y=9x+1 and has a y intercept at -2

The gradient of this line is 9 so the gradient of the perpendicular line is -1/9 (the two perpendicular gradients must multiply to get -1).

The equation of a line is y=mx+c
where m is the gradient and c is the y intercept

We can then just substitute values in:

y = -1/9(x) -2

Y=mx+b
m=slope
b=yint
slopes of perpendicular lines multiply to -1

y=9x+1
9 times what=-1
what=-1/9

yint=-2

too easy
slope=-1/9=m
ying=-2=b

y=-1/9x-2