Question

what equation in slope intercept form represents the line that passes through the two points (5,8) (9,0)

Answer 1

y=mx+b
Use the two point slope formula
(y2-y1)/(x2-x1)
(0-8)/(9-5)
-8/4=m
-2=m

now use the point slop formula
y-y1=m(x-x1)

y-8=-2(x-5)
Distrubitive property 
y-8=-2x+10
get y by its self
y=-2x+10-8

Your Answer would be y=-2x+2 
Hope this helps you