the First we need to choose two points in the graph
(0,6)=(t1,w1)
(1,7)=(t2,w2)
the variables are t and w
then we can calculate the slope

the equation of W is
where
m=1 ---> slope
b=6 ---> y-intercept

the answers are
W=t+6
slope of the function 1
the answer is the third option