3y - 9x = -81 can be used to find y, the number of feet of kite string she still needs to reel in after x seconds. Are the points (0, -27) and
(-9,0) on the line?

We conclude that both the points (0, -27) and (-9, 0) are on the line as both the points satisfy the equation.

Step-by-step explanation:

Given the equation

3y - 9x = -81

substituting the point (0, -27) in the equation

3y - 9x = -81

3(-27) - 9(0) = -81

-81 - 0 = -81

-81 = -81

L.H.S = R.H.S

so, the point satisfies the equation.

Thus, the point (0, -27) is on the line

now substituting the point (-9, 0) in the equation

3y - 9x = -81

3(0) - 9(-9) = -81

0 - 81 = -81

-81 = -81

L.H.S = R.H.S

so, the point satisfies the equation.

Thus, the point  (-9, 0)  is on the line

Therefore, we conclude that both the points (0, -27) and (-9, 0) are on the line as both the points satisfy the equation.