A pair of equations is shown below. x + y = 2
y = one halfx + 5

If the two equations are graphed, at what point do the lines representing the two equations intersect?

solution is (-2,4)
Step-by-step explanation:

Let’s graph both equations.
solve for y

Make a table to graph the equation
x y=-x+2
0 y=2
1 y=1
Graph the points (0,2) and (1,1) . then extend the line that connects two points

x y=(1/2)x+5
0 y=5
2 y=6
Graph the points (0,5) and (2,6) . then extend the line that connects two points
The graph is attached below
Both lies intersects at (-2,4)