Question 377873
The points that are given to you are (8,-6) and (4,-2).
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=(-2-(-6))/(4-8)}}}
{{{m=(4)/(-4)}}}
m=-1


Now from y=mx+b, we have y=-x+b.
To find the y-intercept, we can substitute one of the points in for x and y, and solve for b.


(4,-2)
y=-x+b
(-2)=-(4)+b
-2=-4+b
2=b


Now from y=-x+b, we have y=-x+2