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for this,we have to show the collinearity of the given points-
A(4,2) B(7,5). C(9,7)
If slope of AB= slope of BC= slope of AC,then points are collinear
slope AB= 5-2/7-4=1
slope BC=7-5/9-7=1
slope AC=7-2/9-4=1
Here all slopes are equall so points are collinear i.e,lie in same straight line
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