Answer:
(0, -4) and (6, 0)
Explanation:
You want two solutions to 2x -3y = 12.
Intercepts
Each intercept is the value of the variable when the other is zero. Here, they are easy to find by dividing the constant by the variable's coefficient:
x-intercept: 2x = 12 ⇒ x = 12/2 = 6 . . . . point (6, 0)
y-intercept: -3y = 12 ⇒ y = 12/-3 = -4 . . . . point (0, -4)
__
Additional comment
The intercepts can be used as two points on the line when you want to graph it. They can also be used to estimate the quadrant of the solution when you are working with a system of two equations.
For example, these intercepts tell you there will be no solutions in quadrant II. Any solutions in the first quadrant will have x-values greater than 6. Any in the third quadrant will have y-values less than -4.
If you want other solutions, it is convenient to choose x-values that are multiples of 3, and/or y-values that are multiples of 2. These will ensure integer solutions.
#95141404393