Question 233545
Ok so first we need the slope. You compute this using {{{m=(y[2]-y[1])/(x[2]-x[1])}}} Where m is your slope.
So you have (3,4) and (5,8)
Giving us {{{x[1]=3}}}  {{{y[1]=4}}}   {{{x[2]=5}}}   {{{y[2]=8}}}
So {{{m=(8-4)/(5-3)=4/2=2}}}
Now to write the the equation you can pick (3,4) or (5,8)
So it will look like {{{y-y[1]=m(x-x[1])}}} or {{{y-y[2]=m(x-x[2])}}}
I will use the first point (3,4).
So now we have {{{y-4=2(x-3)}}}
Next multiply out the two on the right hand side. {{{y-4=2x-6}}}
Now add 4 to both sides.
This gives you your final answer of {{{y=2x-2}}}