213k views
1 vote
Find the y-intercept and x-intercept of the following linear equation.

−6x+9y=−54

User Dux
by
8.2k points

1 Answer

5 votes

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).

User Santhosh Gandhe
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories