Unit Step Function Finding slope

Question

How do i find the using $y=mx+c$ for the slope above from $1$ to $3$

Answer 1

The segment on the interval $[1,3]$ pass by the points $(1,2)$ and $(3,0)$ hence $$m=\frac{0-2}{3-1}=-1$$ Now for $x=1$ we have $$y=2=-1\times1+c\iff c=3$$