Answer:
A. y=-5+12
Explanation:
It asks for slope intercept form which is y=mx+b. This matches the first option but not the last.
First you can rewrite the given equation (10x+2y=-2) in slope intercept form. That will give you y=-5x=1. (in the slope intercept form the number in front of the X is ur slope and the last number is ur Y intercept).
The question says that ur line is parallel to the given equation line. This means that they have the same slope. In your rewritten equation, y=-5x=1, the slope is -5 because it is in front of the X. A is the only option with -5 in the slope position.
All options are eliminated now but in case u want to know, when it tells you that the line passes through (0,12) that means the X intercept is 12. Because 0 is the x axis, and 12 is the Y. Y intercept just means the point where your line touches the Y axis.
Y intercept goes at the end and that also matches your first equation.