Final answer:
The equation of the line in standard form that passes through the points given by the equations A to D is 2x - y = 1.
Step-by-step explanation:
The question asks to find the equation of the line in standard form that passes through a series of points defined by given equations. We notice that each of the given equations (A, B, C, and D) are linear equations in standard form, and they can be simplified to a common equation. This implies they all represent the same line. To find the equation in standard form, we can take any one of the equations and simplify it. For instance, if we simplify equation A, 8x - 4y = -4, we can divide through by -4 to get:
2x - y = 1
This represents the line in standard form that all the other points lie on as well. All the given equations are multiples of this equation, which is why they are equivalent. Thus, 2x - y = 1 is the simplified equation in standard form.