The line 3x-2y=12 has

a) a slope of 3/2 and a y intercept of -6
b) a slope of -3/2 and a y intercept of 6
c) a slope of 3 and a y intercept of -2
d) a slope of -3 and a y intercept of -6

2y = 3x - 12
y = 3/2x - 6

the answer is a

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The equation if the line given in the question is 
3x-2y=12
Now, we have to find the slope and the intercept of this line. For that we have to write the equation in a different form.
3x - 2y = 12
- 2y = - 3x + 12
2y = 3x - 12
y = (3/2)x - 6
Then, from the above deduction it can be concluded that the line 3x-2y=12 has a slope of 3/2 and a y intercept of -6. The correct option among all the options that are given in the question is the first option or option "a".