We are given the equation of the line:
2x – 3y = 12
The intercepts of the line represents the point when one of the variable is set to zero or it is the point where the line intersects to the x and y axis.
To find for the x-intercept, we set y to 0:
2x – 3(0) = 12
x = 6
To find for the y-intercept, we set x to 0:
2(0) – 3y = 12
y = - 4
Therefore, the correct answer is option D.
