The given line equation is y=-1/2x+2
We have given the graph of the line
We have to determine the equation of the line,
We have to points(0,2) and (4,0)
What is the formula for the slope?
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
m=0-2/4-0
m=-2/4
m=-1/2
What is the slope point form?
[tex](y-y_1)=m(x-x_1)[/tex]
[tex]y-0=-1/2(x-4)\\y=-1/2x+2[/tex]
Therefore the second option is correct
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