Answer :
The statement which describes the given line the best is required.
The correct statement is an increasing line that passes through [tex](0,4)[/tex]
Equation of lines
The given equation is [tex]2y=4x+8[/tex]
Two points of the line are
[tex]x=0[/tex]
[tex]2y=0+8\\\Rightarrow y=4[/tex]
[tex](0,4)[/tex]
[tex]y=0[/tex]
[tex]0=4x+8\\\Rightarrow x=-2[/tex]
[tex](-2,0)[/tex]
The line passes through points [tex](0,4),(-2,0)[/tex]
The slope intercept form of the line is
[tex]y=\dfrac{4x+8}{2}\\\Rightarrow y=2x+4[/tex]
The slope is [tex]2[/tex]
Since, the slope is positive the line is increasing.
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