Question

Write an equation using this:
Passes through (1,2) with slope -5/3.

Answer 1

use point-slope form: y-y1=m(x-x1)

Answer 2

use y=mx+b

x=1
y=2
m=-5/3
solve for b.

2=(-5/3)(1) + b
2+(5/3)=b
b=3.6666

therefore your equation is:
y=(-5/3)x + 3.66