3x - 2y = 12

Find the x and y intercepts

4 and - 6

Step-by-step explanation:

3x-2y=12

x = 0 ⇒ - 2y=12 ⇒ y = - 6 y=0 ⇒ 3x = 12 ⇒ x = 4

x-intercept: 4 y-intercept: - 6

Step-by-step explanation:

To find the y-intercept, we must first solve for y.

Isolate variable y on the left side of the equation by subtracting 3x from both sides.

- 2y = - 3x + 12

Now divide both sides by - 2 to find y.

y = 3/2x - 6

The y-intercept is - 6. (remember formula y = mx + b, where b is the y-intercept)

To find the x-intercept, we must solve for x.

Isolate variable x on the left side of the equation by adding 2y to both sides.

3x = 2y + 12

Now divide both sides by 3 to find x.

x = 2/3y + 4

The x-intercept is 4. (remember formula x = my + b, where b is the x-intercept)