Each point of intersection with the system of equations was matched.
what is a linear equation?
Any equation in the form [tex]ax+by+c=0[/tex] is called a linear equation where a,b,c∈R.
In the given diagram, to find the intersection of two lines, solve the equations of two lines.
1)[tex]\left \{ {{y=-2x-3} \atop {y=2x-1}} \right.[/tex]
The solution of the given system of equations comes to be x=-1/2 and y=-2.
So they will intersect at (-1/2, -2) i.e. same as the graph.
2)[tex]\left \{ {{y=x+4} \atop {y=-x+2}} \right.[/tex]
The solution of the given system of equations comes to be x=-1 and y=3.
So they will intersect at (-1,3)
Similarly, the other two systems of equations will intersect at (-7/3,5/3) and (-1,1) respectively.
Hence, each point of intersection with the system of equations was matched.
To get more about equations visit:
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