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Step-by-step explanation:

Slope of line passing through and is given by,

m =

From the graph attached,

Slope of the line passing through (-3, 0) and (0, 5) =

                                                                                    =

Line passing through a point (h, k) and slope 'm' will be,

y - h = m(x - k)

Since, line passing through (11, 0) is parallel to the line given in the graph,

Slope of the parallel line will be same as

Equation of a line passing through (11, 0) and slope =

y - 0 =

y =

Now satisfy this equation with the points given in the options,

Option (1)

For (1.67, -15.59),

-15.59 =

-15.59 = -15.55

False.

Therefore, given point doesn't lie on the line.

Option (2)

For (-0.33, -13.59)

-13.59 =

-13.59 = -18.88

False

Option (3)

For (0.67, -18.59),

-18.59 =

-18.59 = 17.22

False

Option (4)

For (1.67, -15.59)

-15.59 =

-15.59 = -15.55

False.

Therefore, none of the points given in the options are lying on the line.