Question 22897
First find the slope:  

{{{m= (rise)/(run)}}}
= {{{(4-(-1))/(-5-8)}}}
= {{{5/(-13)}}}or {{{(-5)/13}}}


The only multiple choice that has a slope of -5/13 is D, so this must be the answer.  However, just to make sure, let's find the y-intercept, by substituting everything you know into the formula y=mx+b, using x=8, y=-1, and m= -5/13.


y=mx+b
{{{-1=((-5)/13)*8 + b}}}


It might be easiest to clear the fraction by multiplying by the denominator which is 13:

{{{13*(-1) = 13*((-5)/13)*8 + 13b}}}
{{{-13 = -40 + 13b}}}


Next, add 40 to both sides:

{{{-13+ 40 = 13b}}}
{{{27=13b}}}


Divide both sides by 13:
{{{27/13 =b}}}


Final answer is 
{{{y= ((-5)/13)x+ 27/13}}}


I think that is probably what you meant to write for the D answer.


R^2 at SCC