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Take 2 points
[tex]\\ \sf\longmapsto m=\dfrac{12-10}{2-1}=2[/tex]
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 10=2(1)+b[/tex]
[tex]\\ \sf\longmapsto b=8[/tex]
Function:-
[tex]\\ \sf\longmapsto f(x)=2x+8[/tex]