Final answer:
The y-intercept is (0, -6) and the x-intercept is (9, 0).
Step-by-step explanation:
To find the y-intercept and x-intercept of the linear equation -6x+9y=-54, we can first set x=0 to find the y-intercept. Substitute x=0 into the equation and solve for y. -6(0)+9y=-54, which simplifies to 9y=-54. Divide both sides by 9 to get y=-6. So, the y-intercept is (0, -6).
To find the x-intercept, we can set y=0 and solve for x. Substitute y=0 into the equation and solve for x. -6x+9(0)=-54, which simplifies to -6x=-54. Divide both sides by -6 to get x=9. So, the x-intercept is (9, 0).