Answer:
The correct option is D.
Step-by-step explanation:
The given equations are
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
![y=2x+4](https://tex.z-dn.net/?f=y%3D2x%2B4)
The slope intercept form of a line is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where, m is slope and b is y-intercept.
In equation (1),
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
Here, m=-1 and b=1. It means the slope of the line is -1 and y-intercept is 1.
In equation (1),
![y=2x+4](https://tex.z-dn.net/?f=y%3D2x%2B4)
Here, m=2 and b=4. It means the slope of the line is 2 and y-intercept is 4.
The steps to solve the pair of equations graphically are:
Step 1: On a graph, plot the line y = -x + 1 which has y intercept = 1 and slope = -1; and y = 2x + 4 which has y intercept = 4 and slope = 2.
Step 2: Write the coordinates of the point of intersection of the two lines as the solution.
Therefore the correct option is D.