Answer:
x-intercept = (-9,0)
y-intercept = (0,27)
Step-by-step explanation:
So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).
Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.
Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).
Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.
So we have: 9x -3(0) = -81
Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).
Hope this helps you :)
