Let the initial value is b
Since the cost per hour is $8
Since the number of hours is 5 hours
Since the cost of the 5 hours is $62
Then
[tex]b+5(8)=62[/tex][tex]x+40=62[/tex]Subtract 40 from both sides to find x
[tex]\begin{gathered} b+40-40=62-40 \\ b=22 \end{gathered}[/tex]The initial value is $22
The slope-intercept form of the equation is
[tex]y=mx+b[/tex]Where m is the rate of change (8) and b is the initial value (22)
[tex]y=8x+22[/tex]