Answer
y=-4x+5
Step-by-step explanation:
The given equation is
In slope intercept form,
We want a second equation that will form a system with unique solution with the given equation.
To achieve this the second equation must not have a slope of 4.
The first equation, y=-4x+5 has a slope of -4 which is not equal to 4.
Hence the correct answer is y=-4x+5
We can see that the remaining options have a slope of 4 when simplified.
Second option: y = 4x-5
Third option:2y = 8x - 10----->y=4x-5
Fourth option: -2y = -8x - 10----->y=4x+10