To find the ordered pair solution, you need to find the zero(s) (which are the x-values for which y is equal to zero). This is called the Zero Product Property. Here's the math:
-2x-y=4 convert the equation into slope form
-y=2x+4 multiply both sides by -1
y=-2x-4 convert into factored form
y=-2(x+2) now, we need to find what x equals that makes y equal zero
0=-2(x+2) replace y with zero
0/-2=x+2 divide both sides by -2
-2=x x=-2 when y=0
Therefore, the zero of the equation (aka the solution) is the ordered pair (-2,0).
Answer: (-2,0)
If you have access to a graphing calculator, you can just convert the equation to y=mx+b form and enter it as a function. The solution is wherever the graph intercepts the x-axis. Hope this helps!