Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the given system of linear equations.
[tex]y=x+4[/tex]
Put x=0 in the above equation.
[tex]y=0+4[/tex]
[tex]y=4[/tex]
Now, put y=0 in [tex]y=x+4[/tex].
[tex]0=x+4[/tex]
[tex]x=-4[/tex]
The coordinates are (0,4) and (-4,0). Draw the line by using the points.
Similarly,
Consider the equation [tex]y = 3x - 1[/tex]
Put x=0 in the above equation.
[tex]y=3(0)-1[/tex]
[tex]y=-1[/tex]
Now, put y=0 in [tex]y = 3x - 1[/tex].
[tex]0=3x-1[/tex]
[tex]x=\frac{1}{3}[/tex]
The coordinates are (0,-1) and ([tex]\frac{1}{3}[/tex],0). Draw the line by using the points.
The required graph is shown below.