Answer
The point of intersection is $(1,2)$
Work Step by Step
#$1$
First equation is $y=-x+3$
Slope$:m=-1$
y - intercept$:b=3$ $(0,3)$
To graph First equation start at 3 on the y-axis Then, go down 1 and right 1. You will want to do this several times to get an accurate point where both lines intercept.
#$2$
Scond Equation $y=x+1$
Slope$:m=1$
y-intercept$:b=0$$(0,1)$
To graph Second equation start at the 3 on the u-axis.Then, go up 1and right 1. You will want to do this several times to get an accurate point where both lines intercept.
#$3$
After graphing you will see a point where both lines intersect that is the point of intersection (1,2).
The graph is as following-
