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Slope review NEED HELP ASAP

Slope review NEED HELP ASAP-example-1
User Navap
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Answer:

(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

User Greg Burghardt
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