Question

What equation in slope intercept form represents the line that passes through the two points 2,5 (9,2

Answer 1

`General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (2,5),\ (9,2)\ into\ equation\\\\ \left \{ {{5=2a+b} \atop {2=9a+b}} \right. \\\\b=5-2a\ \ \ \ \ \ \ \ \ \ \ \ |from\ first\ equation\\\\2=9a+5-2a\ \ \ \ \ |substituting\ to\ the\ second\\2-5=7a\\7a=-3\\a=-(3)/(7)\\\\b=5-2\cdot(-(3)/(7))\\b=5+(6)/(7)=5(6)/(7)\\\\y=-(3)/(7)+5(6)/(7)`