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(D) To find the correct equation,we check which equation is satisfied by the points $(0,6)$,$(2,3)$,and $(4,0)$ shown on the graph.$1$. For $x+y=4$: S

Vedclass · Accepted Answer

$3x+2y=12$

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(D) To find the correct equation,we check which equation is satisfied by the points $(0,6)$,$(2,3)$,and $(4,0)$ shown on the graph.$1$. For $x+y=4$: Substituting $(4,0)$ gives $4+0=4$ (True),but $(0,6)$ gives $0+6=6 
eq 4$ (False).$2$. For $x+y=5$: Substituting $(2,3)$ gives $2+3=5$ (True),but $(4,0)$ gives $4+0=4 
eq 5$ (False).$3$. For $x+y=6$: Substituting $(0,6)$ gives $0+6=6$ (True),but $(4,0)$ gives $4+0=4 
eq 6$ (False).$4$. For $3x+2y=12$: - For $(4,0)$: $3(4)+2(0) = 12+0 = 12$ (True).- For $(2,3)$: $3(2)+2(3) = 6+6 = 12$ (True).- For $(0,6)$: $3(0)+2(6) = 0+12 = 12$ (True).Since all three points satisfy the equation $3x+2y=12$,this is the correct equation.

From the choices given below,choose the correct equation whose graph is shown in the following figure.

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