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Answer:

A)     [tex]m = \frac{1}{4}[/tex]

Step-by-step explanation:

Step(i):-

Given that the points are(-1,2) and (3,3)

Slope of the line

               [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Step(ii):-

Slope of the line

               [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

             [tex]m = \frac{ 3-2}{3-(-1) }= \frac{1}{3+1} = \frac{1}{4}[/tex]

             [tex]m = \frac{1}{4}[/tex]

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