#### Answer

a) x + y = -1
b) x - y = -5

#### Work Step by Step

writing equation in slope intercept form:
x + y = 7
y = -x + 7
So, the slope is -1.
a) line parallel to x + y = 7 and passing through point (-3,2)
(y - 2)/(x +3) = -1
x + y = -1
b) line perpendicular to x + y = 7 and passing through point (-3,2)
will have slope 1
(y - 2)/(x +3) = 1
x - y = -5