Question

Find the ordered pairs for the x- and y-intercepts of the equation 2x − 6y = 24. Which of the following is correct?

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).

Answer 1

The x-intercept of the equation 2x - 6y = 24 is (12,0) and the y-intercept is (0,-4). Option C is the correct choice.

Step-by-step explanation:

To find the x-intercept and y-intercept of equation 2x − 6y = 24, we will set y and x to zero respectively, and solve for the other variable.

• For the x-intercept (where y=0), the equation becomes 2x = 24. Dividing both sides by 2, we find that x = 12. So the x-intercept is (12,0).
• For the y-intercept (where x=0), the equation becomes -6y = 24. Dividing both sides by -6, we find that y = -4. So the y-intercept is (0,-4).

Therefore, the correct ordered pairs for the x- and y-intercepts of the equation are the x-intercept (12,0) and the y-intercept (0,-4), which corresponds to option C.

Answer 2

To find the x intercept, sub in 0 for y and solve for x
2x - 6y = 24
2x - 6(0) = 24
2x = 24
x = 24/2
x = 12...so ur x int is (12,0)

to find the y int, sub in 0 for x and solve for y
2x - 6y = 24
2(0) - 6y = 24
-6y = 24
y = -24/6
y = - 4....and ur y int is (0,-4)