Determine which of the given equations is rep | vedclass

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Question

(C) To determine the correct equation,we check which equation is satisfied by the points shown on the graph. The points on the line are $(0, 2)$,$(2,

Vedclass · Accepted Answer

$x + 2y = 4$

Vedclass · Answer

(C) To determine the correct equation,we check which equation is satisfied by the points shown on the graph. The points on the line are $(0, 2)$,$(2, 1)$,and $(4, 0)$.Testing the points in option $(C)$,$x + 2y = 4$:For $(0, 2)$: $0 + 2(2) = 4$,which is $4 = 4$ (True).For $(2, 1)$: $2 + 2(1) = 4$,which is $4 = 4$ (True).For $(4, 0)$: $4 + 2(0) = 4$,which is $4 = 4$ (True).Since all points satisfy the equation $x + 2y = 4$,this is the correct equation.

Determine which of the given equations is represented by the graph shown in the figure below.

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