Question 57724
write an equation parallel to the given line. Write an equation perpendicular to the given line:

y=-x +5
:
Perpendicular lines have slopes that are negative reciprocals of each other(opposite signs and upsidedown).  
When equations are in slope intercept form {{{highlight(y=mx+b)}}}, the slope is m, the coefficient of x.
The slope of the line they gave you is, m=-1.  It can be written m=-1/1.
The slope of a line perpendicular to a line with the slope,-1/1 is 1/1=1.
There are infinite numbers of equations perpendicular to y=-x+5:
Here are a few:
y=x
y=x+2
y=x-5
y=x+10000000000
The only thing that matters is that the coefficient of x in slope intercept form is 1.
Happy Calculating!!!