Determine the x-intercept and y-intercept of 3x - 6y = 12.(Points : 2)

(9, 0) and (0, -3)
(4, 0) and (0, -2)
(-4, 0) and (0, 4)

y=0: 3x = 12, so x = 4

x=0: -6y = 12, so y = -2

Looks like (C)

To determine the x-intercept and y-intercept of the equation 3x - 6y = 12, we can rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept:
1. Set x = 0 in the equation:
3(0) - 6y = 12
-6y = 12
Divide both sides of the equation by -6:
y = -2

Therefore, the y-intercept is (0, -2).

To find the x-intercept:
1. Set y = 0 in the equation:
3x - 6(0) = 12
3x = 12
Divide both sides of the equation by 3:
x = 4

Therefore, the x-intercept is (4, 0).

So, the correct answer is (4, 0) and (0, -2).

To find the x-intercept and y-intercept of the equation 3x - 6y = 12, we can plug in certain values for x or y and solve for the other variable.

To find the x-intercept, we set y to 0 and solve for x.
So, we substitute y = 0 into the equation:
3x - 6(0) = 12
3x - 0 = 12
3x = 12
Dividing both sides of the equation by 3:
x = 4

Similarly, to find the y-intercept, we set x to 0 and solve for y.
So, we substitute x = 0 into the equation:
3(0) - 6y = 12
0 - 6y = 12
-6y = 12
Dividing both sides of the equation by -6:
y = -2

Therefore, the x-intercept is (4, 0) and the y-intercept is (0, -2).