Answer
The point of intersection is $(2,-2)$
Work Step by Step
#$1$
First equation is $y = x-4$
Slope$: m = 1$
y - intercept$: b=-4$ $(0,-4)$
To graph First equation start at $-4$ on the y-axis Then, go up $1$ and right $1$. You will want to do this several times to get an accurate point where both lines intercept.
#$2$
Scond Equation $y = -x$
Slope$: m = -1$
y-intercept$: b=0$ $(o,o)$
To graph Second equation start at the origin.Then, go down $1$ and 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$(2,-2)$.
The graph is as following-
