[tex]y=-\frac{1}{2} x+2[/tex] is the equation represented by the graph.
What is equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What is graph?
In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y. In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
From the graph, we can see that at [tex]x=4,y=0[/tex] and at [tex]x=0,y=2[/tex]
Considering, [tex]y=-\frac{1}{2} x+2[/tex]
Using, [tex]x=0[/tex] in above equation:
[tex]y=0+2[/tex]
[tex]=2[/tex]
Using,[tex]y=0[/tex] in above equation we get,
[tex]0=-\frac{1}{2} x+2[/tex]
⇒[tex]x=4[/tex]
Since, coordinates of graph and equation [tex]y=-\frac{1}{2} x+2[/tex] are same.
We can conclude that [tex]y=-\frac{1}{2} x+2[/tex] is represented by the graph.
Learn more about graph here:
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