Final answer:
The correct linear equations from the given options are C. 2x-3y=-12 and D. 3x-y=6, as they can both be represented in the form of y = mx + b.
Step-by-step explanation:
The correct statements from the given options that apply to linear equations are C. 2x-3y=-12 and D. 3x-y=6. Both of these equations are in the standard form Ax + By = C, which is a typical representation of a linear equation.
To confirm these are linear, each can be rearranged into the slope-intercept form (y = mx + b), which clearly shows the linearity:
- For equation C: 3y = 2x + 12, and then y = (2/3)x + 4
- For equation D: y = 3x - 6
Both resulting equations represent straight lines when graphed on a coordinate plane.