Answer:
[tex]y=-3x+16[/tex]
Step-by-step explanation:
Slope intercept form is y=mx+b
To find slope you do y2-y1 divided by x2-x1
x1= 5 y1= 1
x2=8 y2= -8
[tex]\frac{-8-1}{8-5} =\frac{-9}{3}= -3[/tex]
Our slope is -3, now we need to plug in one of the points to find our y intercept.
[tex]y=mx+b\\1=-3(5)+b\\1=-15+b\\16=b[/tex]
Last, we write in slope intercept form.
[tex]y=-3x+16[/tex]
