Question

Find the ordered pairs for the x- and y-intercepts of the equation 2x − 6y = 24 and select the appropriate option below. (5 points)

The x-intercept is (2, 0); the y-intercept is (0, −6).
The x-intercept is (0, 2); the y-intercept is (−6, 0).
The x-intercept is (12, 0); the y-intercept is (0, −4).
The x-intercept is (0, 12); the y-intercept is (−4, 0).

Answer 1

C

Explanation:

Answer 2

Hi there!

X-INTERCEPT
To find the x-intercept of a function, we need to substitute y = 0 into the equation and then solve for x.


`2x - 6y = 24`
Substitute y = 0


`2x - 6(0) = 24`
Multiply


`2x - 0 = 24`
We can now remove the 0.


`2x = 24`
And finally divide by 2.


`x = 12`
Since we've plugged in y = 0, we already have the complete coordinate of the x-intercept, which is (12, 0).

Y-INTERCEPT
To find the y-intercept of a function, we need to substitute x = 0 into the equation and then solve for y.


`2x - 6y = 24`
Substitute x = 0


`2(0) - 6y = 24`
Multiply.


`0 - 6 y = 24`
Remove the 0.


`- 6y = 24`
And finally divide by-6.


`y = - 4`
Since we've plugged in x = 0, we already have the complete coordinate of the y-intercept, which is (0, -4).

Hence, the answer is: "The x-intercept is (12, 0); the y-intercept is (0, −4)."
~ Hope this helps you!