Find the ordered pairs for the x - and y-intercepts of the equation 2x - 6y = 24 and select the appropriate option below: A) The x-intercept is (2,0); The y-intercept is (0,-6). B) The x-intercept is (0,2); The y-intercept is (-6,0). C) The x-intercept is (12,0); The y-intercept is (0,-4). D) The x-intercept is (0,12); The y-intercept is (-4,0).

Question

Mathematics

Smirk

29 February, 04:51

Find the ordered pairs for the x - and y-intercepts of the equation 2x - 6y = 24 and select the appropriate option below: A) The x-intercept is (2,0); The y-intercept is (0,-6). B) The x-intercept is (0,2); The y-intercept is (-6,0). C) The x-intercept is (12,0); The y-intercept is (0,-4). D) The x-intercept is (0,12); The y-intercept is (-4,0).

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Anabelle Barrera · Answer 1

The x-intercept is found when y=0, and the y-intercept is found when x=0. If y=0, then we have:

2x=24

x=12

Therefore, the x-intercept is 12, so the full coordinates are (12, 0). Note that the only option with this x-intercept is C, so C is the correct answer.

You can find the y-intercept similarly. If x is zero, then:

-6y=24

y=-4

Therefore, (0, - 4) is the y-intercept. This is also part of option C.