Question 103315
Here, we should again recall the slope-intercept form of the equation of a straight line:
{{{y=m*x+b}}}
where m= slope
      b= y-intercept
to know the value of m, we now use the two points.(9,-1) and (-5,10).


{{{m=10-(-1)/-5-9}}}
{{{m=-11/14}}}

{{{y=m*x+b}}}
we use the point (9,-1).
{{{9=(-11/14)*-1+b}}}
{{{b=8 3/14}}}

{{{y=-11x/14+115/14}}}
{{{14y=-11x+115}}}
{{{11x+14y-115=0}}}

And that is the general equation of your line!