Question 85231
The equation of a line is y = mx+b
If two lines are parallel, they have the same slope.

1) change the given line to y = form.
     
2x + 3y = 7
3y = -2x + 7
y = {{{-2/3}}}x + {{{7/3}}}

So your slope is {{{-2/3}}}

2) Next you have the y and x of the equation. You plug these into the y = form to find b, your y-intercept.

5 = {{{-2/3}}}*6 + b
5 = -4 + b
9 = b

Now you have you slope, m, and your y-int, b, your ready to write your equation

y = {{{-2/3}}}x + 9