Answer:
y = -5/2x +4
Step-by-step explanation:
First, make the equation into standard form.
5x + 2y = -10
2y = -5x - 10
y = -2.5x - 5
In order for two lines to be parallel, they must have the same slope. (In y = mx + b, "m" is the slope)
The slope in y = -2.5x - 5 is -2.5, so we need to find an equation with a slope of -2.5 (or -5/2)
In y = -2/5x - 8, the slope is -2/5
In y = 2/5x + 7, the slope is 2/5
In y = 5/2x - 6, the slope is 5/2
In y = -5/2x +4, the slope is -5/2.
Thus, y = -5/2x +4 is the right answer
