Question 868075
g(x) has slope 2.
A perpendicular line to g(x) will have slope -(1/2).
The perpendicular line is like {{{h(x)=-x/2+b}}}; and b is unknown.


h(x) is given to hold a point, (7,1).  
{{{h(x)+x/2=b}}}
{{{b=1+7/2}}}
{{{b=2/2+7/2}}}
{{{b=9/2}}}


The equation or FUNCTION for the requested line is {{{h(x)=-x/2+9/2}}}