Answer:
D
Step-by-step explanation:
A parallel function is a function that has the same slope as the original with a different y-intercept.
a. Lest convert it into slope intercept form to see if the slope is the same
1. 7x+4y=32
2. 4y=-7x+32
3. y=-7/4x+8
its not, so onto option b!
b. We see that the positive becomes a negative but the numbers stay the same, so the slope would be 4/7x, which isnt what we need
c. The slope would be a form of 7/4 which isn't what we want
d. We know this is correct due to process of elimination, but let's work it through
1. 7y = -4x-14
2.y=-4/7x-2
Slopes match!
Y intercepts are different!
Thus the answer is D
