we have the system of equations
y=x-3 -------> equation 1
y=-x+5 -----> equation 2
step 1
For the first line
we need two points
For x=0
y=0-3
y=-3
point (0,-3)
For x=3
y=3-3
y=0
point (3,0)
therefore
For the first line we have the points (0,-3) and (3,0)
step 2
For the second line
For x=0
y=0+5
y=5
point (0,5)
For x=5
y=-5+5
y=0
point (5,0)
therefore
For the second line we have the points (0,5) and (5,0)
step 3
Graph both lines
to graph the line we need to plot the points and join them
using a graphing tool
see the attached figure
please wait a minute