Question

Which equation represents a line which is parallel to the line 7x+2y=-8

Answer 1

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