Question

Slope review NEED HELP ASAP

Answer 1

(0, -6) is the y-intercept, (2, 0) is the x-intercept

Skill(s) needed: Standard Form Evaluation

Explanation:

1) We are using standard form in this problem here, where you have
`Ax+By=C`

2) Now, regarding the y-intercept, the y-intercept is when the line intersects with the y-axis, so when x=0.

---->
`(0,y_1)`

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:

--->
`27x-9y=54`

--->
`27(0)-9y=54`

--->
`0-9y=54`

--->
`-9y=54`

--->
`y=-6`

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:

`27x-9(0)=54 \\ 27x=54 \\ x=2`

x equals two, when y =0, so (2,0) is the x-intercept