Answer
a) x - y = -3
b) x + y = 7
Work Step by Step
Writing equation in slope intercept form:
x -y = -2
y = x + 2
So, the slope is 1;
a) line which is parallel to x - y = -2 and passing through (2,5)
(y - 5)/ (x - 2) = 1
x - y = -3
b) line which is perpendicular to x - y = -2 and passing through (2,5) will have slope of -1
So,
(y - 5)/ (x - 2) = -1
x + y = 7