The equation [tex]y=2x+2[/tex] is a function
Explanation:
Given that the graph contains the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex]
We need to determine whether the equation [tex]y=2x+2[/tex] is a function.
To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.
Let us substitute the coordinate [tex](-1,0)[/tex] in the equation [tex]y=2x+2[/tex]
Thus, we have,
[tex]0=2(-1)+2[/tex]
[tex]0=-2+2[/tex]
[tex]0=0[/tex]
Thus, the coordinate [tex](-1,0)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](0,2)[/tex] in the equation, we have,
[tex]2=2(0)+2[/tex]
[tex]2=2[/tex]
Thus, the coordinate [tex](0,2)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](1,4)[/tex] in the equation [tex]y=2x+2[/tex]
[tex]4=2(1)+2[/tex]
[tex]4=4[/tex]
Thus, the coordinate [tex](1,4)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](2,6)[/tex] in the equation, we get,
[tex]6=2(2)+2[/tex]
[tex]6=6[/tex]
Thus, the coordinate [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Hence, the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Thus, the equation [tex]y=2x+2[/tex] is a function.
