Answer:
y = -7/2x +17
Step-by-step explanation:
First, lets put the original equation into slope intercept form which is y=mx+b
7x + 2y = -8
subtract 7x on both sides
2y = -7x -8
divide by 2 on both sides
y = -7/2x - 8/2
y = -7/2x - 4
now we can plus in any x and y values to get a new b, which is our y intercept.
lets use (4,3)
Also, since they are parallel, their slope (m) will be the same.
y = -7/2x + b
3 = -7/2(4) + b
3 = -14 + b
b = 17
lets plug in our new b into our original equation
y = -7/2x + 17