Answer:
(0, -6) is the y-intercept, (2, 0) is the x-intercept
Skill(s) needed: Standard Form Evaluation
Step-by-step explanation:
1) We are using standard form in this problem here, where you have [tex]Ax+By=C[/tex]
2) Now, regarding the y-intercept, the y-intercept is when the line intersects with the y-axis, so when x=0.
----> [tex](0,y_1)[/tex]
3) In this scenario, we can plug in 0 for x, and solve for y to get the y-intercept. Let's see it below:
---> [tex]27x-9y=54[/tex]
---> [tex]27(0)-9y=54[/tex]
---> [tex]0-9y=54[/tex]
---> [tex]-9y=54[/tex]
---> [tex]y=-6[/tex]
Above, y=-6, so the y-intercept is (0, -6) (Note: This coordinate point is verbally defined as: When x equals zero, y equals negative six)
-------------------------------------------------------------------------------------------------------------- The x-intercept works the same way, it is the intersection with the x-axis, and is when y=0.
Plugging it in:
[tex]27x-9(0)=54 \\ 27x=54 \\ x=2[/tex]
x equals two, when y =0, so (2,0) is the x-intercept
