Question 562801
Hi, from what's given we know two points that are to be on the graph of this linear equation (f(x)=mx+b), which is all we need to know.  The points are (2,1) and (6,9).  So the slope of the linear equation is
{{{m=(1-9)/(2-6)=(-8)/(-4)=2}}}
So the equation now looks like
{{{f(x)=2x+b}}}
We know f(2)=1 so sub in x=2, f(x)=1 and find b
{{{1=2*2+b}}}
{{{b=-3}}}
So the equation is
{{{f(x)=2x-3}}}