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
[tex]m=\frac{w2-w1}{t2-t1}=\frac{7-6}{1-0}=\frac{1}{1}=1[/tex]the equation of W is
where
m=1 ---> slope
b=6 ---> y-intercept
[tex]\begin{gathered} W=mt+b \\ W=1\cdot t+6 \\ W=t+6 \end{gathered}[/tex]the answers are
W=t+6
slope of the function 1
the answer is the third option