Question 379389
The points that are given to you are (5,-5) and (0,8).
The equation is y=mx+b.
What you need to find is the slope, m and the y-intercept, b.


To find the slope, m, you use the formula:
{{{m=(y2-y1)/(x2-x1)}}}

So, {{{m=(y2-y1)/(x2-x1)}}}
{{{m=(8-(-5))/(0-5))}}}
{{{m=(13)/(-5)}}}


Now from y=mx+b, we have {{{y=(-13/5)x+b}}}
To find the y-intercept, we can substitute one of the points in for x and y, and solve for b.


(0,8)
{{{y=(-3/5)x+b}}}
{{{(8)=(-13/5)(0)+b}}}
{{{8=0+b}}}
{{{8=b}}}


Now from y=mx+b, we have {{{y=(-13/5)x+8}}}