Question 1199013
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I'll do problem 1 to get you started. 
Please post one problem at a time in the future.


Solve each equation for y.
y+5 = -x
y = -x+5
Compare this to y = mx+b to find the slope is m = -1 and y-intercept is 5.


Repeat for the other equation
x-y = 2
x = 2+y
x-2 = y
y = x-2
y = 1x-2
This equation has a slope of m = 1


Recap:
y = -x+5 has a slope of -1
y = x-2 has a slope of 1


These two lines are not parallel because the slopes are different. 
Parallel lines must have equal slopes.


The lines are <u><font color=red>perpendicular</font></u> because their slopes multiply to -1
(slope1)*(slope2) = -1*(1) = -1
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